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# LCM question

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Manager
Joined: 11 Aug 2012
Posts: 125

Kudos [?]: 135 [0], given: 16

Schools: HBS '16, Stanford '16

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03 Oct 2012, 12:33
In relation to the LCM, the MGMAT guide says:

"The LCM of two or more integers is always AT LEAST as large as any of the integers".

This means that the LEAST possible value of the LCM of these integers is the value of the integer with the highest value, right?

Kudos [?]: 135 [0], given: 16

Manager
Joined: 05 Dec 2011
Posts: 82

Kudos [?]: 43 [1], given: 2

Concentration: Accounting, Finance
GMAT Date: 09-08-2012
GPA: 3

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03 Oct 2012, 12:59
1
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danzig wrote:
In relation to the LCM, the MGMAT guide says:

"The LCM of two or more integers is always AT LEAST as large as any of the integers".

This means that the LEAST possible value of the LCM of these integers is the value of the integer with the highest value, right?

Yes, that is correct.

Example LCM of 8 and 16 is 16.
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Kudos [?]: 43 [1], given: 2

SVP
Joined: 14 Apr 2009
Posts: 2139

Kudos [?]: 1601 [0], given: 8

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04 Oct 2012, 07:07
Yes, LCM of two numbers ...at the very least must be the bigger number of the two.

If it were less, then that LCM wouldn't go into the bigger number. That conflicts. So it must be the case that the LCM is (at the very least) the bigger number of the two.

Kudos [?]: 1601 [0], given: 8

Intern
Joined: 23 Jun 2013
Posts: 44

Kudos [?]: 9 [0], given: 2

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26 Oct 2013, 04:54
I dont agree to this what is the LCM of 4 & 3..it is 12 right..greater than both the numbers

Kudos [?]: 9 [0], given: 2

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129029 [0], given: 12187

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27 Oct 2013, 10:52
Nilabh_s wrote:
I dont agree to this what is the LCM of 4 & 3..it is 12 right..greater than both the numbers

You misinterpreted the property.

The property says: "The LCM of two or more integers is always AT LEAST as large as any of the integers". In other words it says that the LCM of two or more integers cannot be less than any of the integers.

Does this make sense?
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Kudos [?]: 129029 [0], given: 12187

Intern
Joined: 06 May 2013
Posts: 9

Kudos [?]: [0], given: 2

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30 Oct 2013, 12:54
danzig wrote:
In relation to the LCM, the MGMAT guide says:

"The LCM of two or more integers is always AT LEAST as large as any of the integers".

This means that the LEAST possible value of the LCM of these integers is the value of the integer with the highest value, right?

yeah its very much true...LCM of two numbers has to be at least as large as either of the numbers...as the LCM is always a multiple of two numbers and any multiple of an integer will always be as large as that number or more...

Kudos [?]: [0], given: 2

Re: LCM question   [#permalink] 30 Oct 2013, 12:54
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