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?

Asked by rittwik | 11th Sep, 2010, 07:19: PM

Expert Answer:

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.

Answered by  | 12th Sep, 2010, 12:31: AM

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