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Family name Kayse (Kayse ) , across the world, is a rare surname. The cognomen Kayse is characteristic of Djibouti, where it is quite a common surname, Somalia, where it is quite a rare surname, and Sweden, where it is a rare surname. Not in comparison with a country's population, the name is most common in Somalia, the United States, and Djibouti. Likewise, Kayse is the forename as well as the last name.