LCM Problem: Finding the Least Common Multiple of 5 and 9

Question

Find the least common multiple of 5 and 9.

5   9 \boxed 5~~~\boxed 9

Step-by-Step Solution

To find the least common multiple (LCM) of 5 and 9, list the multiples of each number and find the smallest multiple they have in common.

Multiples of 5: 5,10,15,20,25,30,35,40,45, 5, 10, 15, 20, 25, 30, 35, 40, 45, \ldots

Multiples of 9: 9,18,27,36,45, 9, 18, 27, 36, 45, \ldots

The smallest common multiple is 45 45 .

Answer

45