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Last name Alexai (Алексай , Alexai ) , all over the world, is a very rare surname. The last name Alexai is characteristic of Latin America and the Caribbean, particularly Honduras, where it is a very rare surname, Mexico, and Venezuela, where it is an extremely rare surname. Measured by absolute frequency, it most frequently occurs in Latin America and the Caribbean, particularly Mexico, Argentina, and Venezuela. More prevalently, Alexai is the forename as well as the last name.