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Using Prime Factorization, Find the Hcf and Lcm Of 36, 84 In Case Verify that Hcf × Lcm = Product of Given Numbers. - Mathematics

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Using prime factorization, find the HCF and LCM of  36, 84 In case verify that HCF × LCM = product of given numbers.

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Solution

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 

Concept: Euclid’s Division Lemma
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