Find Least Common Multiple of 45 and 60 by listing out the factors.

LCM( 45, 60 ) = 180

Write down multiples of each number until you find the first common multiple:

The multipliers of 45 are: 45, 90, 135, 180, 225, . . .

The multipliers of 60 are: 60, 120, 180, 240, . . .

We can see that:

LCM( 45, 60 ) = 180

This solution can be visualized using a Venn diagram.

The LCM is equal to the product of all the numbers on the diagram.