Product review (5 stars): Try this before replacing sensor
We have a Kenmore 796.403119 front-loading washer (made by LG) that had the 'LE' error problem everyone is describing and this is the replacement part.  I found something on howtomendit.com that sounded very fishy.  I tried it and it worked!!!  Don't know how long it will last or why it worked, but who cares!  (Someone on the other site said it might reset the sensor.)

The trick - unplug the washer, rotate drum four hand spins left and four hand spins right, plug it back in.

I think I'll still order one of these for insurance so we don't have a major wait to wash clothes in case the sensor fails.

Update - it didn't make it through the first cycle; back to the drawing board.

Update - got a new sensor the other day.  Replaced it and the tub rotated for the initial tests, but when it added some water, it stopped with the LE error.  Was ready to give up and found a review that said to change the sensor first, check the motor wire harness if that doesn't work, and lastly it might be the circuit board.

Got a multimeter and tested the 3 wires powering the motor; no resistance in the middle wire, so ordered a new harness that should be here today.

Update - the new lower wiring harness did the trick and it runs great.