diff --git a/src/ol/renderer/canvas/canvastilelayerrenderer.js b/src/ol/renderer/canvas/canvastilelayerrenderer.js
index b8c6f833bf..586a32fa96 100644
--- a/src/ol/renderer/canvas/canvastilelayerrenderer.js
+++ b/src/ol/renderer/canvas/canvastilelayerrenderer.js
@@ -201,6 +201,7 @@ ol.renderer.canvas.TileLayer.prototype.renderFrame =
       tilesToDrawByZ, getTileIfLoaded);
 
   var allTilesLoaded = true;
+  var tmpTileRange = new ol.TileRange(0, 0, 0, 0);
   var childTileRange, fullyLoaded, tile, tileState, x, y;
   for (x = tileRange.minX; x <= tileRange.maxX; ++x) {
     for (y = tileRange.minY; y <= tileRange.maxY; ++y) {
@@ -216,9 +217,10 @@ ol.renderer.canvas.TileLayer.prototype.renderFrame =
 
       allTilesLoaded = false;
       fullyLoaded = tileGrid.forEachTileCoordParentTileRange(
-          tile.tileCoord, findLoadedTiles);
+          tile.tileCoord, findLoadedTiles, null, tmpTileRange);
       if (!fullyLoaded) {
-        childTileRange = tileGrid.getTileCoordChildTileRange(tile.tileCoord);
+        childTileRange = tileGrid.getTileCoordChildTileRange(
+            tile.tileCoord, tmpTileRange);
         if (!goog.isNull(childTileRange)) {
           findLoadedTiles(z + 1, childTileRange);
         }
@@ -276,7 +278,7 @@ ol.renderer.canvas.TileLayer.prototype.renderFrame =
           context.drawImage(tile.getImage(), x, y, width, height);
         }
         interimTileRange =
-            tileGrid.getTileRangeForExtentAndZ(tileExtent, z);
+            tileGrid.getTileRangeForExtentAndZ(tileExtent, z, tmpTileRange);
         minX = Math.max(interimTileRange.minX, canvasTileRange.minX);
         maxX = Math.min(interimTileRange.maxX, canvasTileRange.maxX);
         minY = Math.max(interimTileRange.minY, canvasTileRange.minY);
diff --git a/src/ol/renderer/dom/domtilelayerrenderer.js b/src/ol/renderer/dom/domtilelayerrenderer.js
index fb7d4babbd..7deb602476 100644
--- a/src/ol/renderer/dom/domtilelayerrenderer.js
+++ b/src/ol/renderer/dom/domtilelayerrenderer.js
@@ -14,6 +14,7 @@ goog.require('ol.Coordinate');
 goog.require('ol.Extent');
 goog.require('ol.Tile');
 goog.require('ol.TileCoord');
+goog.require('ol.TileRange');
 goog.require('ol.TileState');
 goog.require('ol.ViewHint');
 goog.require('ol.dom');
@@ -115,6 +116,7 @@ ol.renderer.dom.TileLayer.prototype.renderFrame =
       tilesToDrawByZ, getTileIfLoaded);
 
   var allTilesLoaded = true;
+  var tmpTileRange = new ol.TileRange(0, 0, 0, 0);
   var childTileRange, fullyLoaded, tile, tileState, x, y;
   for (x = tileRange.minX; x <= tileRange.maxX; ++x) {
     for (y = tileRange.minY; y <= tileRange.maxY; ++y) {
@@ -131,9 +133,10 @@ ol.renderer.dom.TileLayer.prototype.renderFrame =
 
       allTilesLoaded = false;
       fullyLoaded = tileGrid.forEachTileCoordParentTileRange(
-          tile.tileCoord, findLoadedTiles);
+          tile.tileCoord, findLoadedTiles, null, tmpTileRange);
       if (!fullyLoaded) {
-        childTileRange = tileGrid.getTileCoordChildTileRange(tile.tileCoord);
+        childTileRange = tileGrid.getTileCoordChildTileRange(
+            tile.tileCoord, tmpTileRange);
         if (!goog.isNull(childTileRange)) {
           findLoadedTiles(z + 1, childTileRange);
         }
@@ -212,7 +215,7 @@ ol.renderer.dom.TileLayer.prototype.renderFrame =
     } else {
       if (!frameState.viewHints[ol.ViewHint.ANIMATING] &&
           !frameState.viewHints[ol.ViewHint.INTERACTING]) {
-        tileLayerZ.removeTilesOutsideExtent(extent);
+        tileLayerZ.removeTilesOutsideExtent(extent, tmpTileRange);
       }
     }
   }
@@ -351,11 +354,12 @@ ol.renderer.dom.TileLayerZ_.prototype.getResolution = function() {
 
 /**
  * @param {ol.Extent} extent Extent.
+ * @param {ol.TileRange=} opt_tileRange Temporary ol.TileRange object.
  */
 ol.renderer.dom.TileLayerZ_.prototype.removeTilesOutsideExtent =
-    function(extent) {
-  var tileRange =
-      this.tileGrid_.getTileRangeForExtentAndZ(extent, this.tileCoordOrigin_.z);
+    function(extent, opt_tileRange) {
+  var tileRange = this.tileGrid_.getTileRangeForExtentAndZ(
+      extent, this.tileCoordOrigin_.z, opt_tileRange);
   var tilesToRemove = [];
   var tile, tileCoordKey;
   for (tileCoordKey in this.tiles_) {
diff --git a/src/ol/renderer/webgl/webgltilelayerrenderer.js b/src/ol/renderer/webgl/webgltilelayerrenderer.js
index f20a95f76b..1f22f8e2dd 100644
--- a/src/ol/renderer/webgl/webgltilelayerrenderer.js
+++ b/src/ol/renderer/webgl/webgltilelayerrenderer.js
@@ -199,6 +199,7 @@ ol.renderer.webgl.TileLayer.prototype.renderFrame =
         tilesToDrawByZ, getTileIfLoaded);
 
     var allTilesLoaded = true;
+    var tmpTileRange = new ol.TileRange(0, 0, 0, 0);
     var childTileRange, fullyLoaded, tile, tileState, x, y;
     for (x = tileRange.minX; x <= tileRange.maxX; ++x) {
       for (y = tileRange.minY; y <= tileRange.maxY; ++y) {
@@ -217,9 +218,10 @@ ol.renderer.webgl.TileLayer.prototype.renderFrame =
 
         allTilesLoaded = false;
         fullyLoaded = tileGrid.forEachTileCoordParentTileRange(
-            tile.tileCoord, findLoadedTiles);
+            tile.tileCoord, findLoadedTiles, null, tmpTileRange);
         if (!fullyLoaded) {
-          childTileRange = tileGrid.getTileCoordChildTileRange(tile.tileCoord);
+          childTileRange = tileGrid.getTileCoordChildTileRange(
+              tile.tileCoord, tmpTileRange);
           if (!goog.isNull(childTileRange)) {
             findLoadedTiles(z + 1, childTileRange);
           }