Surname Ельбаев (Ельбаев 
, Elbaev 
, Yelbayev) , around the world, is a rare last name. The cognomen Ельбаев is habitual in Azerbaijan, where it is quite a rare surname, Kazakhstan, where it is a rare surname, and Russia, where it is an extremely rare surname. Much less frequently, Ельбаев is the forename as well as the last name.