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LCM question

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Manager
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LCM question [#permalink]

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New post 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?

Please confirm.

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Re: LCM question [#permalink]

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New post 03 Oct 2012, 12:59
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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?

Please confirm.


Yes, that is correct.

Example LCM of 8 and 16 is 16.
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Re: LCM question [#permalink]

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New post 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.

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Re: LCM question [#permalink]

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New post 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

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Re: LCM question [#permalink]

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New post 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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Re: LCM question [#permalink]

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New post 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?

Please confirm.

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...

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