If we don't need to capture it to orbit, but just avoid hitting the Earth, centimeters might be enough. The trick is to be able to do it way in advance.
Besides, why LEO? Even GSO is 11 times closer than the Moon.
You're quite right - attaining GSO would indeed require only another 3 or 4km/s. But it does seem a little unfair to put it in GSO; we'd surely want people in both hemispheres to get a chance to gawk at our new satellite!
Besides, why LEO? Even GSO is 11 times closer than the Moon.