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Question
Using prime factorization, find the HCF and LCM of 96, 404 In case verify that HCF × LCM = product of given numbers.
Solution
Prime factorization:
96 = 25 × 3
404 = 22 × 101
HCF = product of smallest power of each common prime factor in the numbers = 22 = 4
LCM = product of greatest power of each prime factor involved in the numbers = 25 × 3 × 101 = 9696
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