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  least common multiple [#permalink]
PostPosted: Mon Nov 09, 2009 8:10 pm 
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Which of the following could be the least common multiple of two
distinct positive integers x and y, where x > y?
(A) 1
(B) x - y
(C) x
(D) y -x
(E) y

please provide explanation with your answer

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  Re: least common multiple [#permalink]
PostPosted: Mon Nov 09, 2009 8:16 pm 
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ichha148 wrote:
Which of the following could be the least common multiple of two
distinct positive integers x and y, where x > y?
(A) 1
(B) x - y
(C) x
(D) y -x
(E) y

please provide explanation with your answer


I'm getting c

For example:
x = 15
y = 5

LCM 15 or x


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  Re: least common multiple [#permalink]
PostPosted: Mon Nov 09, 2009 9:35 pm 
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The correct answer is C.

We know the following:

(1) x and y are both positive integers
(2) x > y

The LCM of two integers must be greater than or equal to both integers. Since x > y, we know that the LCM of x and y is greater than or equal to x. Simply by reviewing the options, C is the only term given that satisfies this constraint.


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  Re: least common multiple [#permalink]
PostPosted: Mon Nov 09, 2009 9:46 pm 
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ichha148 wrote:
Which of the following could be the least common multiple of two
distinct positive integers x and y, where x > y?
(A) 1
(B) x - y
(C) x
(D) y -x
(E) y

please provide explanation with your answer



(c) X

Picking numbers x=4, y=2; x=15, y=5; x=6, y=3


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  Re: least common multiple [#permalink]
PostPosted: Wed Nov 11, 2009 9:54 pm 
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Definitely "C"


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  Re: least common multiple [#permalink]
PostPosted: Thu Nov 12, 2009 11:15 am 
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Yes C it is.


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  Re: least common multiple [#permalink]
PostPosted: Fri Nov 13, 2009 8:38 pm 
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OA is C

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