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

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

3   7 \boxed 3~~~\boxed 7

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1

Understand the problem

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

3   7 \boxed 3~~~\boxed 7

2

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 .

3

Final Answer

21

Practice Quiz

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You have a pair of denominators, what is their least common multiple?

\( \boxed 7~~~\boxed 5 \)

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