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Question
Using prime factorization, find the HCF and LCM of 396, 1080 In case verify that HCF × LCM = product of given numbers.
Solution
Prime factorization:
396 = 22 × 32 × 11
1080 = 23 × 33 × 5
HCF = product of smallest power of each common prime factor in the numbers = 22 × 32 = 36
LCM = product of greatest power of each prime factor involved in the numbers = 23 × 33 × 5 × 11 = 11880
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