Hi,
One of the properties of the LCM and GCF is that the LCM * GCF = XY
Assuming that the GCF (Greatest Common Factor) is 2, then we would have LCM * 2 = XY, or LCM = XY/2
least common multiple of two positive integers x and y
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November Rain
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GauravMalhotra
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doesn't look to be the correct question (or something is missing)M811 wrote:If x > y > 1, which of the following could be the least common multiple of two positive integers x and y ?
(A) x + 1
(B) y - 1
(C) x - y
(D) xy - 1
(E) xy/2
[spoiler]ANS :E[/spoiler]
x = 3 and y = 2... the answer doesn't satisfy.... similarly.. x=8 and y=3....
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November Rain
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It says "which of the following could be the least common multiple", not that it must be.
Try X=6 and Y = 4
Try X=6 and Y = 4
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debmalya_dutta
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by value substitution in x and y
y= 2 and x = 4
lowest common multiple = 4
hence xy/2 is the right answer
y= 2 and x = 4
lowest common multiple = 4
hence xy/2 is the right answer












