Why Buddhist worship Mount Kailash?

In Hinduism it is said to be the place of Lord Shiva and his wife godess parvati, How is it related to Buddhist? Did Buddha himself ever said the importance of Mount Kailash? and if it is just a culture Buddhist follows how did it start? Jain's are also worshipping this sacred mountain. Buddhist Monk Milarepa have climbed Mount Kailash(is it true?)