Product of the two prime numbers is the LCM. For example 3, 7 have 21 as LCM
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When the numbers are co-prime.
The LCM is the product of the two numbers if and only if the two numbers are co-prime. That they are co-prime means they have no factors in common so that their GCF is 1.
They are co-prime, like 36 and 37.
The LCM of two numbers is their product if and only if the two numbers are co prime, that is their HCF is 1. Otherwise their LCM in not their product, in fact, it is their product divided by their HCF.
Only if the numbers are co-prime.