No, the product of two prime numbers is unique.
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The product of the GCF and LCM of two numbers is equal to the product of the two numbers. The other number is 126.
When there are no common factors other than 1.
If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.
As a general rule, the product of the GCF and the LCM is equal to the product of the original numbers. That would make the answer to this problem 6240. Unfortunately, the GCF of 348 and 6240 isn't 87 and their LCM isn't 24960. Someone notated this problem incorrectly.
The multiples of any number cannot be prime numbers because such numbers are the product of at least two numbers. Prime numbers, but definition, cannot be cannot be the product of any numbers except itself and one.