My LG, 6810st model, had the same LE error. Wasn't to keen on peeling the front cover off, but after removing the 12 screws the front 'dropped' off and the wireharness was plainly visible. After a couple minutes of staring, and not pulling on any of the wires, (1) wire was clearly 'broke'. A red wire, with the break about dead center of the front assembly. One end was clearly stuck into the tarlike sound deadening black substance.
It was such a clean break that I wonder if it wasn't a combination of careless handling during manufacture, as well as the continual movement of the wiring harness at close and open. It is no surprise that the break occured directly below where the wire was embedded into the tarlike substance.
With a wire nut I secured the two ends of the red wire and tested the 'fix'. The DW is running without issue.
Many thanks to the folks at this site and all who took the time to respond.