Q. 8 E5.0( 2 Votes )

# Find the LCM and HCF of the following pair of integers and verify that LCM X HCF = Product of two numbers :

32 and 80

Answer :

Given numbers are 32 and 80

The prime factorization of 32 and 80 gives:

32 = 2^{5} and 80 = 2^{4} × 5

Therefore, the H.C.F of these two integers = 2^{4} = **16**

Now, the L.C.M of 32 and 80 = 5 × 2^{5} = **160**

Now, we have to verify

L.H.S = L.C.M × H.C.F = 160 × 16 = 2560

R.H.S = Product of two numbers = 32 × 80 = 2560

Hence, L.H.S = R.H.S

So, the product of two numbers is equal to the product of their HCF and LCM.

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