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Last name Lyba (Lyba , Либа , Лыба ) , around the globe, is quite a rare family name. The last name Lyba is characteristic of Ukraine, where it is quite a rare surname, Angola, where it is a rare surname, and Lithuania. Measured by absolute frequency, the name is most common in Ukraine, Russia, and Angola. Much less frequently, Lyba is the forename as well as the last name.