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Cognomen Kachai (Kachai , กาชัย , Качай ) , around the globe, is quite a rare family name. The last name Kachai is habitual in Thailand, where it is quite a rare surname, Tunisia, where it is a rare surname, and Ukraine. Measured by absolute frequency, the name is most common in Thailand, Russia, and Ukraine. Much less frequently, Kachai is the forename as well as the last name.