For two nos. a and b the LCM is L and the HCF is H. So L must be a multiple of H---True or false?if so how?

Dear Student,

 

L must be a multiple of H.

 

From the definition of HCF, H divides both A and B. Also, from the definition of LCM, A and B both divide L.

 

So, H in turn divides L. Therefore, L is a multiple of H. (By Euclid's division lemma)

 

Regards Topperlearning.