Question

Find the lcm and hcf of 36 and 48 by the prime factorization method

Answer 1

hope it's clear...............

Answer 2

$36 = 2 \times 2 \times 3 \times 3 = {2}^{2} \times {3}^{2} \\ \\ 48 = 2 \times 2 \times 2 \times 2 \times 3 = {2}^{4} \times 3 \\ \\ for \: lcm \: highest \: power \: of \: each \: factor \\ is \: multiplied \\ lcm= {2}^{4} \times {3}^{2} = 16 \times 9 = 144 \\ \\ for \: hcf \: lowest \: power \: of \: only \\ \: common \: factors \: is \: multiplied \\ hcf = {2}^{2} \times 3 = 12$