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Last name Alybayev (Алыбаев , Alybayev ) , around the globe, is quite a rare cognomen. The last name Alybayev is habitual in Kyrgyzstan, where it is quite a common surname, Kazakhstan, where it is quite a rare surname, and Azerbaijan. Not in comparison with a country's population, the name is most common in Kyrgyzstan, Kazakhstan, and Russia.