No.
The LCM MUST be a multiple of the HCF.
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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.
LCM = product/HCF so product = LCM/HCF in this case 380/16 which is 23.75, so the answer to your question is no.
4
The answer is 6 and 36
2 and 12