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Last name Cainan (Cainan ) , across the world, is quite a rare cognomen. The family name Cainan is habitual in Israel, where it is quite a common surname, Ireland, where it is a rare surname, and Honduras, where it is a very rare surname. In absolute terms, it is commonest in Israel, the United States, and Mexico. Also, Cainan is the forename as well as the last name.