 ##  [Least Common Multiple](/least-common-multiple) 

  ##  [Least Common Multiple](https://puremath.quantumdictionary.io/least-common-multiple-0) 

  

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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

For integers a and b (not both zero), the least common multiple lcm(a,b) is the smallest positive integer that is a multiple of both a and b.