Calculate LCM: Finding the Least Common Multiple of 3 and 7

Question

What is the least common multiple (LCM) of the numbers 3 and 7?

3   7 \boxed 3~~~\boxed 7

Step-by-Step Solution

To find the least common multiple (LCM) of the numbers 3 and 7, we will list the multiples of each number and find the smallest multiple they have in common.

Multiples of 3: 3,6,9,12,15,18,21, 3, 6, 9, 12, 15, 18, 21, \ldots

Multiples of 7: 7,14,21,28, 7, 14, 21, 28, \ldots

The smallest common multiple is 21 21 .

Answer

21