Call a Sears repairman ! Sears carries Kenmore and he could take one look at it and know what you needed. They aren't expensive repairmen either. Or call Sears and ask them where the I.D. is. You get a smart one and they will know where and what to find.
You can get the right spare part by contacting those who deal with Kenmore machines. Some of them are repair clinic and sears. You can trace the model number from the manual or by contacting the manufacturers.