Least Common Multiple

Elementary Math (K-6th) Tutorial

Least Common Multiple

Intro

Find the LCM of 6 and 4 using prime factorization. 

Let’s find multiples of these two numbers.

6:6,12,18,24,30,….
4:4,8,12,32,40,….

Sample Problem

Find the LCM of 6 and 4 using prime factorization. 

 

Solution

Find the first few multiples of the two numbers as follows: 

6: 6 , 12 , 18 , 24 , 30 ,… 

4: 4 , 8 , 12 , 32 , 40 ,… 

The lowest multiple that is common to 6 and 4 is 12. So the LCM of 6 and 4 is 12. 

The above method works well for small numbers only. 



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