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 :

32 and 80

Given numbers are 32 and 80


The prime factorization of 32 and 80 gives:


32 = 25 and 80 = 24 × 5


Therefore, the H.C.F of these two integers = 24 = 16


Now, the L.C.M of 32 and 80 = 5 × 25 = 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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