Question

find lcm of 236 and 2124 by finding their hcf
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Answer 1

$236 = {2}^{2} \times 59 \\ \: \: \: \: \: \: \: \: 2124 = {2}^{2} \times {3}^{2} \times 59$

$hcf = {2}^{2} \times 59 \\ =236$

$lcm \times hcf = product \: of \: the \: two \: numbers \\ lcm \times 236 = 236 \times 2124 \\ lcm = \frac{236 \times 2124}{236} \\ lcm = 2124$