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 \(
2*X*Y\)