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Last name Amrein (Amrein ) , around the world, is quite a rare cognomen. The last name Amrein is characteristic of Switzerland, where it is quite a common surname, Liechtenstein, and Hungary, where it is quite a rare surname. Measured by absolute frequency, it is commonest in Switzerland, the United States, and Germany. Much less frequently, Amrein is the forename as well as the last name.