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Factors

The least num...

Question

The least number exactly divisible by 36 and 24 is
(a) 144
(b) 72
(c) 64
(d) 324

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Solution

36 = 2 × 2 × 3 × 3 = 2² × 3²
24 = 2 × 2 × 2 × 3 = 2³ × 3¹
LCM of 36 and 24 = 2³ × 3² = 72
Hence, the correct answer is option (b).

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