Gmatdecoder wrote:

Which of the following CANNOT be the least common multiple of two positive integers x and y?

(A) 1

(B) x

(C) y

(D) xy/2

(E) 2xy

(A) 1 if x=y=1 , LCM=1

(B) x if x=k*y where k is a integer, then lcm(x,y) = x

(C) y if y=k*x where k is a integer, then lcm(x,y) = y

(D) xy/2 if x=\(2*P_1\) and y=\(2*P_2\) where \(P_1 , P_2\) are prime numbers, then LCM(x,y) = \(2*P_1*P_2\) = \(\frac{X*Y}{2}\)

(E) 2xy well, the answer for this question was this option straightforward . if there is something common between x and y then that would have been LCM but if there is nothing common between x and y , then the first multiple of X and Y will be \(

X*Y\) and not \(

2*X*Y\)

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Lucky

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