Calculate LCM: Finding the Least Common Multiple of 10 and 15

Question

What is the least common multiple of the numbers 10 and 15?

10   15 \boxed {10}~~~\boxed {15 }

Step-by-Step Solution

To find the least common multiple (LCM) of 10 and 15, list the multiples of each number and find the smallest multiple they have in common.

Multiples of 10: 10,20,30,40, 10, 20, 30, 40, \ldots

Multiples of 15: 15,30,45,60, 15, 30, 45, 60, \ldots

The smallest common multiple is 30 30 .

Answer

30