The \(LCM\) of two distinct positive integers is divisible by the highest single digit power of 3, while their \(HCF\)

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The \(LCM\) of two distinct positive integers is divisible by the highest single digit power of 3, while their \(HCF\) is 12. Which of the following could be the smaller number between the two?

A. 6
B. 24
C. 36
D. 300
E. 360

[spoiler]OA=B[/spoiler]

Source: e-GMAT
Source: — Problem Solving |