A differential gear mechanism includes a differential case, a first side gear, a second side gear, a first pinion and a second pinion. The first side gear is rotatably mounted within the differential case and has a first outer diameter. The second side gear is rotatably mounted within the differential case and has a second diameter. The first pinion gear is meshed for rotation with the first side gear during a first meshing event. The second pinion gear is meshed for rotation with the second side gear during a second meshing event. The first and second pinion gears form a torque transfer arrangement configured for transferring torque between the first and second pinion gears and the first and second side gears to rotate the first and second side gears. The first and second outer diameters are distinct such that the first and second meshing events are offset in time.