Q8 of 104 Page 1

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

36 and 64

Given numbers are 36 and 64


The prime factorization of 36 and 64 gives:


36 = 2 × 2 × 3 × 3 and 64 = 26


Therefore, the H.C.F of these two integers = 2 × 2 = 4


Now, the L.C.M of 36 and 64 = 3 × 3 × 26 = 576


Now, we have to verify



L.H.S = L.C.M × H.C.F = 576 × 4 = 2304


R.H.S = Product of two numbers = 36 × 64 = 2304


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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