least common multiple

ichha148 · **Posted:** Mon Nov 09, 2009 7:10 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

AKProdigy87 · **Posted:** Mon Nov 09, 2009 8:35 pm

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.

lagomez · **Posted:** Mon Nov 09, 2009 7:16 pm

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

swatirpr · **Posted:** Mon Nov 09, 2009 8:46 pm

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

Casinoking · **Posted:** Wed Nov 11, 2009 8:54 pm

Definitely "C"

deepkap · **Posted:** Thu Nov 12, 2009 10:15 am

Yes C it is.

ichha148 · **Posted:** Fri Nov 13, 2009 7:38 pm

OA is C

least common multiple

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