See post 15 and 18 which list and show the new different rear motor part numbers. (or go to https://epc.teslamotors.com/#/systemGroups/47412 yourself)I don't believe there is any difference in the motors or electronics. Any performance difference is most likely software controlled. If there was a difference there would be unique part numbers for the different model cars.
My guess is the LC version is Low Cost
Edit: not SR since it has AWD in the description. (I reserve the right to hedge the possiblity on the SR not existing yet...)
Thanks @MP3Mike for the clue by 4
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