Least Common Multiple and Common Denominator

Least Common Multiple

Miss Garcia

What is Least Common Multiple?

• It is the least or smallest common multiple of the given pairs of numbers.

• To find the LCM by listing nonzero multiples of each number

Example:

Find the LCM of 3 and 4

Listing Method

• 3: 3,6,9,12,15

• 4: 4,8,12,16,20

The LCM of 3 and 4 is

12

Multiple Choice

What is the LCM of 9 and 15?

• 20

• 45

• 63