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What is the least possible common multiple of positive integers x and

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
What is the least possible common multiple of positive integers x and  [#permalink]

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15 Dec 2016, 03:42
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25% (medium)

Question Stats:

67% (01:00) correct 33% (00:52) wrong based on 66 sessions

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What is the least possible common multiple of positive integers x and y?

(1) x and y are each greater than 50.
(2) x = y

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Joined: 18 Oct 2016
Posts: 139
Location: India
WE: Engineering (Energy and Utilities)
Re: What is the least possible common multiple of positive integers x and  [#permalink]

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15 Dec 2016, 04:44
Option B)

Given: X & Y are positive integers
: LCM (X,Y) ?

I: X > 50 & Y > 50
: X & Y could be any integer > 50, hence Insufficient.

II: X = Y
: LCM (X,Y) = X = Y, hence Sufficient.
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Senior Manager
Joined: 13 Oct 2016
Posts: 367
GPA: 3.98
What is the least possible common multiple of positive integers x and  [#permalink]

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Updated on: 15 Dec 2016, 09:36
1
As I understand we need to find the exact value of LCM (x, y)

(1) x > 50, y > 50. Clearly insufficient because they can take any values beyond 50.

(2) x = y In this case LCM (x, y) = x = y = GCD (x, y) Had we known at least one integer than the option would have been sufficient. But because we don’t know any exact value of x or y – insufficient.

(1) & (2) Again x = y = 51 or x = y = 600 Insufficient.

All spins around the question: do we need to find exact value of LCM? If no, than (2) is sufficient.

Originally posted by vitaliyGMAT on 15 Dec 2016, 05:01.
Last edited by vitaliyGMAT on 15 Dec 2016, 09:36, edited 1 time in total.
Manager
Joined: 18 Oct 2016
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WE: Engineering (Energy and Utilities)
Re: What is the least possible common multiple of positive integers x and  [#permalink]

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15 Dec 2016, 05:18
vitaliyGMAT wrote:
As I understand we need to find the exact value of LCM (x, y)

(1) x > 50, y > 50. Clearly insufficient because they can take any values beyond 50.

(2) x = y In this case LCM (x, y) = x = y = GCD (x, y) Had we known at least one integer or that x = y + 1 (consecutive integers), than the option would have been sufficient. But because we don’t know any exact value of x or y – insufficient.

(1) & (2) Again x = y = 51 or x = y = 600 Insufficient.

All spins around the question: do we need to find exact value of LCM? If no, than (2) is sufficient.

Agree, even for (2) LCM will in the end depend upon what values of X & Y take.
Hence, Insufficient.

Thank you for your input, cheers!
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Re: What is the least possible common multiple of positive integers x and  [#permalink]

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03 Jul 2018, 21:41
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Re: What is the least possible common multiple of positive integers x and &nbs [#permalink] 03 Jul 2018, 21:41
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