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प्रश्न
Using prime factorization, find the HCF and LCM of 36, 84 In case verify that HCF × LCM = product of given numbers.
उत्तर
Prime factorization:
36 = 22 × 3
84 = 22 × 3 × 7
HCF = product of smallest power of each common prime factor in the numbers = 22 × 3 = 12
LCM = product of greatest power of each prime factor involved in the numbers = 22 × 32 × 7 = 252
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