Carcass wrote:

The number 3072 is divisible by both 6 and 8. Which one of the following is the first integer larger than 3072 that is also divisible by both 6 and 8?

(A) 3078

(B) 3084

(C) 3086

(D) 3090

(E) 3096

Since 3072 is divisible by both 6 and 8, it’s divisible by the LCM of 6 and 8, which is 24. Thus, the next larger integer that is divisible by both 6 and 8 is 3072 + 24 = 3096.

Answer: E

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