I think GM originally put the 4L60e behind the 4.3L, 4.8L, and the 5.3L, but if it was a 6.0L it got the 4L80e. I am sure there are exceptions. There are slight wiring differences to the transmissions between the 4L80e and the 4L60e, so I would suggest finding a wiring harness for the LS that matches your transmission of choice. Given the option I would choose the 4L80e. I think you will find that there is only a few hundred dollars difference between the 2 transmissions depending on where you pick one up.