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How many natural numbers a satisfy LCM(a, 18) = 36?

Competition practiceNumber System, HCF & LCM

A2
B4
C6
D3

Step-by-Step Solution

36 = 2^{2} 3^{2}, 18 = 2 \cdot 3^{2}

. a must contain

2^{2}

and may carry

3^{0}, 3^{1}, 3^{2} : a = 4, 12, 36

.

Answer: D) 3

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