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Last name Shaui (Chaoui , Shaui ) , throughout the world, is a common family name. The family name Shaui is characteristic of Morocco, where it is quite a common surname, Algeria, and Lebanon, where it is quite a rare surname. Not in comparison with a country's population, this name is the most popular in Algeria, Morocco, and France. Much less frequently, Shaui is the forename as well as the last name.