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 Post subject: least common multiple [#permalink]
PostPosted: Mon Nov 09, 2009 7:10 pm 
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Senior Manager
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Posts: 331

Kudos (?): 8 (0), given: 7

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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 Post subject: Re: least common multiple [#permalink]
PostPosted: Mon Nov 09, 2009 7:16 pm 
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Joined: Wed Mar 05, 2008
Posts: 496

Kudos (?): 46 (0), given: 18

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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 Post subject: Re: least common multiple [#permalink]
PostPosted: Mon Nov 09, 2009 8:35 pm 
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Posts: 117

Kudos (?): 37 (1), given: 6

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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 Post subject: Re: least common multiple [#permalink]
PostPosted: Mon Nov 09, 2009 8:46 pm 
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Joined: Tue Oct 13, 2009
Posts: 137
Location: USA

Kudos (?): 29 (0), given: 66

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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 Post subject: Re: least common multiple [#permalink]
PostPosted: Wed Nov 11, 2009 8:54 pm 
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Posts: 210

Kudos (?): 1 (0), given: 9

Definitely "C"


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 Post subject: Re: least common multiple [#permalink]
PostPosted: Thu Nov 12, 2009 10:15 am 
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Joined: Wed Sep 30, 2009
Posts: 5

Kudos (?): 0 (0), given: 2

Yes C it is.


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 Post subject: Re: least common multiple [#permalink]
PostPosted: Fri Nov 13, 2009 7:38 pm 
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Posts: 331

Kudos (?): 8 (0), given: 7

OA is C

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