The Große Kulmke is a tributary of the Sieber in central Germany.

It rises near the natural monument of Mönchskappenklippe near the ridge of Auf dem Acker, north-northeast of Sieber in the district of Göttingen in Lower Saxony.

It then flows mainly in a southerly direction, separated from the Sieber by the Königsberg.

After 5 km (3.1 mi) it merges with the Kleine Kulmke at an elevation of 392 m (1,286 ft).

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