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Last name Traynor (Traynor , Трэйнор) , worldwide, is a common surname. The last name Traynor is habitual in Ireland, where it is quite a common surname, the United Kingdom, where it is quite a rare surname, and Australia. Not in comparison with a country's population, it is the most numerous in the United States, the United Kingdom, and Ireland. Much less frequently, Traynor is the forename as well as the last name.