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Last name Begai (Бегай , Begai , Бегаи ) , around the globe, is a rare surname. The cognomen Begai is habitual in Kyrgyzstan, where it is quite a common surname, Ukraine, where it is a rare surname, and Hungary. Not in comparison with a country's population, it is the most numerous in Kyrgyzstan, Ukraine, and India. Likewise, Begai is the forename as well as the last name.