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Family name Ligi (Ligi , League ) , globally, is quite a common cognomen. The family name Ligi is characteristic of Estonia, where it is quite a common surname, Italy, where it is quite a rare surname, and the United States, where it is a rare surname. In absolute terms, this name is the most popular in the United States, Italy, and Philippines. Also, Ligi is the forename as well as the last name.