Question

find the l.c.m and H.c.f of the following integers by applying prime factorisation method 12;23;29​

Answer 1

Explanation:

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Answer 2

$12 = {2}^{2} \times 3 \\ 23 = 23 \times 1 \\ 29 = 29 \times 1$

LCM(All base with highest power)

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {2}^{2} \times 3 \times 23 \times 29 \\ = 8004$

HCF(Common base with least power)

$= 1$