diff --git a/src/isobmff/isobmff-demuxer.ts b/src/isobmff/isobmff-demuxer.ts
index 124c7b1..35e90ae 100644
--- a/src/isobmff/isobmff-demuxer.ts
+++ b/src/isobmff/isobmff-demuxer.ts
@@ -51,13 +51,13 @@ import {
 	MATRIX_COEFFICIENTS_MAP_INVERSE,
 	normalizeRotation,
 	roundToMultiple,
-	roundToPrecision,
 	Rotation,
 	textDecoder,
 	TransformationMatrix,
 	TRANSFER_CHARACTERISTICS_MAP_INVERSE,
 	UNDETERMINED_LANGUAGE,
 	toDataView,
+	roundIfAlmostInteger,
 } from '../misc';
 import { EncodedPacket, PLACEHOLDER_DATA } from '../packet';
 import { buildIsobmffMimeType } from './isobmff-misc';
@@ -2388,7 +2388,7 @@ abstract class IsobmffTrackBacking implements InputTrackBacking {
 		// Do a little rounding to catch cases where the result is very close to an integer. If it is, it's likely
 		// that the number was originally an integer divided by the timescale. For stability, it's best
 		// to return the integer in this case.
-		return roundToPrecision(timestamp * this.internalTrack.timescale, 14) + this.internalTrack.editListOffset;
+		return roundIfAlmostInteger(timestamp * this.internalTrack.timescale) + this.internalTrack.editListOffset;
 	}
 
 	async getPacket(timestamp: number, options: PacketRetrievalOptions) {
diff --git a/src/matroska/matroska-demuxer.ts b/src/matroska/matroska-demuxer.ts
index 9af38db..4c69c35 100644
--- a/src/matroska/matroska-demuxer.ts
+++ b/src/matroska/matroska-demuxer.ts
@@ -43,7 +43,7 @@ import {
 	MATRIX_COEFFICIENTS_MAP_INVERSE,
 	normalizeRotation,
 	Rotation,
-	roundToPrecision,
+	roundIfAlmostInteger,
 	TRANSFER_CHARACTERISTICS_MAP_INVERSE,
 	UNDETERMINED_LANGUAGE,
 } from '../misc';
@@ -1874,7 +1874,7 @@ abstract class MatroskaTrackBacking implements InputTrackBacking {
 		// Do a little rounding to catch cases where the result is very close to an integer. If it is, it's likely
 		// that the number was originally an integer divided by the timescale. For stability, it's best
 		// to return the integer in this case.
-		return roundToPrecision(timestamp * this.internalTrack.segment.timestampFactor, 14);
+		return roundIfAlmostInteger(timestamp * this.internalTrack.segment.timestampFactor);
 	}
 
 	async getPacket(timestamp: number, options: PacketRetrievalOptions) {
diff --git a/src/misc.ts b/src/misc.ts
index 2f91ed0..68cb687 100644
--- a/src/misc.ts
+++ b/src/misc.ts
@@ -486,9 +486,14 @@ export const clamp = (value: number, min: number, max: number) => {
 
 export const UNDETERMINED_LANGUAGE = 'und';
 
-export const roundToPrecision = (value: number, digits: number) => {
-	const factor = 10 ** digits;
-	return Math.round(value * factor) / factor;
+export const roundIfAlmostInteger = (value: number) => {
+	const rounded = Math.round(value);
+
+	if (Math.abs(value / rounded - 1) < 10 * Number.EPSILON) {
+		return rounded;
+	} else {
+		return value;
+	}
 };
 
 export const roundToMultiple = (value: number, multiple: number) => {
diff --git a/src/ogg/ogg-demuxer.ts b/src/ogg/ogg-demuxer.ts
index 495865d..556e3af 100644
--- a/src/ogg/ogg-demuxer.ts
+++ b/src/ogg/ogg-demuxer.ts
@@ -19,7 +19,7 @@ import {
 	binarySearchLessOrEqual,
 	findLast,
 	last,
-	roundToPrecision,
+	roundIfAlmostInteger,
 	toDataView,
 	UNDETERMINED_LANGUAGE,
 } from '../misc';
@@ -577,7 +577,7 @@ class OggAudioTrackBacking implements InputAudioTrackBacking {
 			return this.getPacketSequential(timestamp, options);
 		}
 
-		const timestampInSamples = roundToPrecision(timestamp * this.internalSampleRate, 14);
+		const timestampInSamples = roundIfAlmostInteger(timestamp * this.internalSampleRate);
 		if (timestampInSamples === 0) {
 			// Fast path for timestamp 0 - avoids binary search when playing back from the start
 			return this.getFirstPacket(options);
@@ -910,7 +910,7 @@ class OggAudioTrackBacking implements InputAudioTrackBacking {
 		const release = await this.sequentialScanMutex.acquire(); // Requires exclusivity because we write to a cache
 
 		try {
-			const timestampInSamples = roundToPrecision(timestamp * this.internalSampleRate, 14);
+			const timestampInSamples = roundIfAlmostInteger(timestamp * this.internalSampleRate);
 			timestamp = timestampInSamples / this.internalSampleRate;
 
 			const index = binarySearchLessOrEqual(