Some are. The first three numbers before the coma in the model number tell you who made your kenmore.
Kenmore products are made by many different companies depending on the product. For example, Kenmore sewing machines are now and have been for several years made by Janome. These machines have the prefix 385 in their serial numbers. As for LG, I have no idea.
LG manufactures the Kenmore Elite 29002 and 29272. Whirlpool manufactures the 21102, 21202, 21302, 26002, and 28002. LG manufactures all Kenmore/Kenmore Elite front-loaders except for the 49032, which is manufactured by Samsung.
Kenmore is manufactured by Sears and only Sears. Sears does not manufacture. Their appliances are made by major manufacturers. Most of the dryers are made by Whirpool.
Lg
LG
LG
LG is a Korean Brand, its products are made in Korea, China and Mexico for the NA Market.
According to a sales tech at Sears it is made by LG. Hopefully someone can confirm this. Looking inside at the drum it is identical to the LG 45222
LG
I was told by a veteran Sears representative that LG now makes all of the Kenmore refrigerators..
LG is a large scale manufacturer in its own right. Most or all LG branded products are made by LG or under LG management.
Kenmore appliances are actually made by most of the major manufacturers for Sears. The following model prefixes are listed along with who makes them: 665. Whirlpool Dishwasher 110. Whirlpool Laundry 587. Frigidaire Dishwasher 106. Whirlpool Refrigeration/AC 363. GE Refrigerator/Dishwasher 253. Frigidaire Refrigerator 103. Roper These are just a few of the major prefixes. If the one you are looking for isn't here, you can try appliancepartspros.com. They have them listed there.