Hello. I think you provided the part number on a label instead of the model number. The model number will look something like this: 665.12345 (it may or may not contain a letter). Some models are compatible with side mounts. I would need the model number to help.
The model number for your Kenmore dishwasher should be on a sticker that is on the left side of the door opening. Some models have this sticker on the right side. It could also be on the side of the door.
What kind of countertop do you have? Were the brackets attached directly to the countertop or to a wood strip?
Once you find your model number, you can ask your question again so I can help.