diff --git a/library/src/main/java/com/google/android/exoplayer/dash/mpd/SegmentBase.java b/library/src/main/java/com/google/android/exoplayer/dash/mpd/SegmentBase.java
index 89a9dd49be..df92d029bc 100644
--- a/library/src/main/java/com/google/android/exoplayer/dash/mpd/SegmentBase.java
+++ b/library/src/main/java/com/google/android/exoplayer/dash/mpd/SegmentBase.java
@@ -15,6 +15,8 @@
  */
 package com.google.android.exoplayer.dash.mpd;
 
+import com.google.android.exoplayer.util.Util;
+
 import android.net.Uri;
 
 import java.util.List;
@@ -155,7 +157,7 @@ public abstract class SegmentBase {
       } else {
         unscaledSegmentTime = (sequenceNumber - startNumber) * duration;
       }
-      return (unscaledSegmentTime * 1000000) / timescale;
+      return Util.scaleLargeTimestamp(unscaledSegmentTime, 1000000, timescale);
     }
 
     public abstract RangedUri getSegmentUrl(Representation representation, int index);
diff --git a/library/src/main/java/com/google/android/exoplayer/smoothstreaming/SmoothStreamingManifest.java b/library/src/main/java/com/google/android/exoplayer/smoothstreaming/SmoothStreamingManifest.java
index a26ca6a48e..7b45aed9cc 100644
--- a/library/src/main/java/com/google/android/exoplayer/smoothstreaming/SmoothStreamingManifest.java
+++ b/library/src/main/java/com/google/android/exoplayer/smoothstreaming/SmoothStreamingManifest.java
@@ -53,19 +53,8 @@ public class SmoothStreamingManifest {
     this.isLive = isLive;
     this.protectionElement = protectionElement;
     this.streamElements = streamElements;
-    if (timescale >= MICROS_PER_SECOND && (timescale % MICROS_PER_SECOND) == 0) {
-      long divisionFactor = timescale / MICROS_PER_SECOND;
-      dvrWindowLengthUs = dvrWindowLength / divisionFactor;
-      durationUs = duration / divisionFactor;
-    } else if (timescale < MICROS_PER_SECOND && (MICROS_PER_SECOND % timescale) == 0) {
-      long multiplicationFactor = MICROS_PER_SECOND / timescale;
-      dvrWindowLengthUs = dvrWindowLength * multiplicationFactor;
-      durationUs = duration * multiplicationFactor;
-    } else {
-      double multiplicationFactor = (double) MICROS_PER_SECOND / timescale;
-      dvrWindowLengthUs = (long) (dvrWindowLength * multiplicationFactor);
-      durationUs = (long) (duration * multiplicationFactor);
-    }
+    dvrWindowLengthUs = Util.scaleLargeTimestamp(dvrWindowLength, MICROS_PER_SECOND, timescale);
+    durationUs = Util.scaleLargeTimestamp(duration, MICROS_PER_SECOND, timescale);
   }
 
   /**
@@ -186,26 +175,10 @@ public class SmoothStreamingManifest {
       this.tracks = tracks;
       this.chunkCount = chunkStartTimes.size();
       this.chunkStartTimes = chunkStartTimes;
-      chunkStartTimesUs = new long[chunkStartTimes.size()];
-      if (timescale >= MICROS_PER_SECOND && (timescale % MICROS_PER_SECOND) == 0) {
-        long divisionFactor = timescale / MICROS_PER_SECOND;
-        for (int i = 0; i < chunkStartTimesUs.length; i++) {
-          chunkStartTimesUs[i] = chunkStartTimes.get(i) / divisionFactor;
-        }
-        lastChunkDurationUs = lastChunkDuration / divisionFactor;
-      } else if (timescale < MICROS_PER_SECOND && (MICROS_PER_SECOND % timescale) == 0) {
-        long multiplicationFactor = MICROS_PER_SECOND / timescale;
-        for (int i = 0; i < chunkStartTimesUs.length; i++) {
-          chunkStartTimesUs[i] = chunkStartTimes.get(i) * multiplicationFactor;
-        }
-        lastChunkDurationUs = lastChunkDuration * multiplicationFactor;
-      } else {
-        double multiplicationFactor = (double) MICROS_PER_SECOND / timescale;
-        for (int i = 0; i < chunkStartTimesUs.length; i++) {
-          chunkStartTimesUs[i] = (long) (chunkStartTimes.get(i) * multiplicationFactor);
-        }
-        lastChunkDurationUs = (long) (lastChunkDuration * multiplicationFactor);
-      }
+      lastChunkDurationUs =
+          Util.scaleLargeTimestamp(lastChunkDuration, MICROS_PER_SECOND, timescale);
+      chunkStartTimesUs =
+          Util.scaleLargeTimestamps(chunkStartTimes, MICROS_PER_SECOND, timescale);
     }
 
     /**
diff --git a/library/src/main/java/com/google/android/exoplayer/util/Util.java b/library/src/main/java/com/google/android/exoplayer/util/Util.java
index 4c08c5a528..b8cd40215d 100644
--- a/library/src/main/java/com/google/android/exoplayer/util/Util.java
+++ b/library/src/main/java/com/google/android/exoplayer/util/Util.java
@@ -346,4 +346,57 @@ public final class Util {
     return time;
   }
 
+  /**
+   * Scales a large timestamp.
+   * <p>
+   * Logically, scaling consists of a multiplication followed by a division. The actual operations
+   * performed are designed to minimize the probability of overflow.
+   *
+   * @param timestamp The timestamp to scale.
+   * @param multiplier The multiplier.
+   * @param divisor The divisor.
+   * @return The scaled timestamp.
+   */
+  public static long scaleLargeTimestamp(long timestamp, long multiplier, long divisor) {
+    if (divisor >= multiplier && (divisor % multiplier) == 0) {
+      long divisionFactor = divisor / multiplier;
+      return timestamp / divisionFactor;
+    } else if (divisor < multiplier && (multiplier % divisor) == 0) {
+      long multiplicationFactor = multiplier / divisor;
+      return timestamp * multiplicationFactor;
+    } else {
+      double multiplicationFactor = (double) multiplier / divisor;
+      return (long) (timestamp * multiplicationFactor);
+    }
+  }
+
+  /**
+   * Applies {@link #scaleLargeTimestamp(long, long, long)} to a list of unscaled timestamps.
+   *
+   * @param timestamps The timestamps to scale.
+   * @param multiplier The multiplier.
+   * @param divisor The divisor.
+   * @return The scaled timestamps.
+   */
+  public static long[] scaleLargeTimestamps(List<Long> timestamps, long multiplier, long divisor) {
+    long[] scaledTimestamps = new long[timestamps.size()];
+    if (divisor >= multiplier && (divisor % multiplier) == 0) {
+      long divisionFactor = divisor / multiplier;
+      for (int i = 0; i < scaledTimestamps.length; i++) {
+        scaledTimestamps[i] = timestamps.get(i) / divisionFactor;
+      }
+    } else if (divisor < multiplier && (multiplier % divisor) == 0) {
+      long multiplicationFactor = multiplier / divisor;
+      for (int i = 0; i < scaledTimestamps.length; i++) {
+        scaledTimestamps[i] = timestamps.get(i) * multiplicationFactor;
+      }
+    } else {
+      double multiplicationFactor = (double) multiplier / divisor;
+      for (int i = 0; i < scaledTimestamps.length; i++) {
+        scaledTimestamps[i] = (long) (timestamps.get(i) * multiplicationFactor);
+      }
+    }
+    return scaledTimestamps;
+  }
+
 }