Posted by **romulo** on Wednesday, March 7, 2007 at 1:48am.

If a and b are positive integers, and m=lcm(a,b), explain why m divides any common multiple of a and b.

The answer is in the definition of lcm:]

the smallest multiple that is exactly divisible by every member of a set of numbers.

So if m is divisble by a or b, then ab divides into m evenly. Then any ab product multiplied by an interger n (nab) is divided evenly by m.

Thank you very much Bob Pursley!! A gent and a scholar.

## Answer This Question

## Related Questions

- MATH - HOW DO LEAST COMMON MULTIPLES WORK. IT SAYS THERE IS A PROBLEM TO SOLVE ...
- 5th grade math - what is the least common multiple The least common multiple is ...
- Algebra II - Our current assignment is to find the LCM, Least Common Multiple of...
- Math - I still do not understand Today was my first day learning how to add 3 ...
- algebra - how would i find least common multiple of 20, 50 and 3 ? okay well you...
- Math 7 grade - So this is the question The number 108 is the LCM(least common ...
- Algebra I - **Match each word or phrase w/ its definition** Word Bank: A) least ...
- math - I don not understand how to do least common mutiples. Can I please get ...
- Math - Find the least common multiple (LCM) of 10 and 6 . Answer =30
- discrete math - If a and b are positive integers, prove that; ab = gcd(a,b)*lcm(...

More Related Questions