Question

find the LCM and HCF of the following integers by the prime factorization method 306and657

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Answer 1

Answer :-

$306 \: and \: 657 \\ 306 = 2 \times 253 \\ = 2 \times 3 \times 51 \\ = 2 \times 3 \times 3 \times 17 = {2}^{1} \times {3}^{2} \times {17}^{1} \\ 657 = 3 \times 219 \\ 3 \times 3 \times 73 = {3}^{2} \times {73}^{1} \\ HCF\: of \: 306 \: and \: 657 = {3}^{2} = 9 \\ LCM \: of \: 306 \: and \: 657 = 2 \times {3}^{2} \times 17 \times 73 = 22338$

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