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Surname Coster (Coster , Cost , Kosten ) , around the globe, is a common last name. The surname Coster is habitual in Belgium, where it is quite a common surname, Netherlands, where it is quite a rare surname, and Malta. Not in comparison with a country's population, this name is the most popular in Belgium, the United States, and Netherlands. Much less frequently, Coster is the forename as well as the last name.