Use the prime factorisation method to find the LCM of the following groups of numbers:
$24 a n d 36$

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Solution

LCM of $24 a n d 36$ is the smallest number among all common multiples of $24 a n d 36$
By prime factorisation method,
$24 = 2 \times 2 \times 2 \times 3 36 = 2 \times 2 \times 3 \times 3 L C M (24, 36) = 2 \times 2 \times 2 \times 3 \times 3 = 72$
Hence, $L C M (24, 36) = 72$

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