An electric drive module (e-drive module) for an electric motor vehicle and chain driven electric-drive (e-drive) gearbox therefor is provided. The e-drive gearbox has first and second chain members operably coupling an output shaft of an electric motor to a shaft of a driven output member. A first drive gear is rotatable with the output shaft of the electric motor. A first driven gear is coupled to the first drive gear via the first chain member. A second driven gear is coupled to the first driven gear via a common shaft and co-rotatable with the first driven gear. A second drive gear is coupled to the second driven gear via the second chain member. The respective rotational axes of the first and second drive gears and the first and second driven gears are parallel to each other.