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January 25, 2015

January 25, 2015

Posted by **Brandon** on Saturday, March 26, 2011 at 11:08pm.

If two numbers are relatively prime, what is their LCM? Explain the reasoning and give 2 examples supporting the answer.

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**Ms. Sue**, Saturday, March 26, 2011 at 11:15pmDid you carefully read all the information in the web site he posted?

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**Lena**, Saturday, March 26, 2011 at 11:16pmIf a number is prime then you know that it's a multiple of itself and the number 1.

Example: Multiples for 7 are 7 & 1

Example: Multiples for 23 are 23 and 1

If you wanted to find the the LCM of both it would have to be 23 x 7

Do you understand why? There is no number other than 1 that can divide into both.

If you had non-prime numbers like 4 and 2, their LCM would be 4 since 2x2=4 and 1x4=4.

I don't know if I'm doing a good job explaining this or if I'm confusing you more but I tried.

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**Lena**, Saturday, March 26, 2011 at 11:17pmThe multiples of 7 are not 7 and 1, rather what I meant to say is that 1x7 =7, the multiples of 7 would be 7,14,21 ect. Sorry if that confused you. Same with the number 23.

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**Lena**, Saturday, March 26, 2011 at 11:18pmThe factors for 7 are 1 and 7

The factors for 23 are 1 and 23

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**MathMate**, Saturday, March 26, 2011 at 11:32pm"Since they have no common prime factors between them other than one, the Least Common Multiple must contain all the prime factors of both, making it

."*the product of the two numbers*

This is what drwls posted, and to me it is crystal clear... unless you did not read what he wrote, just scanning for numbers.

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