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Coolmath Pre-Algebra
Greatest Common Factors and Least Common Multiples lesson 4 - Least Common Multiples   (page 1 of 6)
---- This pre-algebra lesson explains what the least common multiple (lcm) (also called the least common denominator) is and gives three methods of how to find it (lists, prime factorization and Euclidean Algorithm).

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The easiest way to find the least common multiple (LCM) is to just list out all the common multiples, like in the last lesson... and pick the smallest one!

Let's look at the ones we did in the last section:

Find the LCM of 2 and 3 :

 
1 ) List the multiples of each:
2 :  2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , ...
3 : 3 , 6 , 9 , 12 , 15 , 18 , ...

 
2 ) Look at the common multiples:
2 :  2 , 4 , ( 6 ) , 8 , 10 , ( 12 ) , 14 , 16 , ( 18 ) , ...
3 :  3 , ( 6 ) , 9 , ( 12 ) , 15 , ( 18 ) , ...

 
3 ) Grab the least common multiple:
2 :  2 , 4 , (( 6 )) , 8 , 10 , ( 12 ) , 14 , 16 , ( 18 ) , ...
3 :  3 , (( 6 )) , 9 , ( 12 ) , 15 , ( 18 ) , ...  the LCM is 6
 
The LCM of 2 and 3 is 6 .

The special math notation for this is

LCM( 2 , 3 ) = 6

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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