Product review (5 stars): direct fit replacement ice maker for Kenmore Elite part #AEQ36756901
Awesome - looking for a replacement ice maker, the one that came with the Kenmore Elite fridge started giving out maybe last year, in cycles.  Some days it would work like champ, some days nothing.  Finally decided to look into a new ice maker.  Again, I searched the brand mfr. website and found the replacement part and decided to give Amazon a try.  I know in the past when i have asked, most retailers don't carry parts for Kenmore appliances - so you're kind of stuck buying from the manufacturer.

Welp, i found this one, and it was an exact match to the part number, looks like LG produced the ice makers for my Kenmore Fridge, so I was able to get a decent savings almost $40 compared to brand new from the mfr. site.

Ice maker arrived today, and installation was very easy. First turn off your water supply, unplug the fridge, then you remove two screws at the top (they hold the unit in place), and one screw at the bottom (for grounding), and then you have a connector at the back of the unit, simply un-clip it.  Installation is reverse of removal.  I pushed in the connector, screwed in the ground wire (tip: i found that if you plug in the connector and put the top two screws in, you won't have enough wiggle room for the ground screw), once you get the ground screw set, move the unit into position, install the two screws on top and bam - done.  Altogether took like 10 minutes.

I plugged the fridge back in, turned the water back, and the unit was powered on.  I let it be, but then after about 20 minutes I didn't hear anything.  Read some of the other reviews, and did the self-test (hold down the round ice size button for 3 seconds or thereabouts) the test will start.  It rotated the assembly, moved the lever arm, and then filled the tray.  So looks like everything it good to go!

10 minutes, $40 dollars saved, no repairmen, no service calls - can't beat that.