# lowest common multiple of 3 and 7

#### Understand the Problem

The question is asking for the lowest common multiple (LCM) of the numbers 3 and 7. This is a mathematical concept that involves finding the smallest number that is a multiple of both 3 and 7.

#### Answer

21
##### Answer for screen readers

The lowest common multiple of 3 and 7 is 21.

#### Steps to Solve

1. List the multiples of each number

List the first few multiples of 3 and 7.

• Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24...
• Multiples of 7: 7, 14, 21, 28, 35...
1. Identify the common multiples

Find the multiples that appear in both lists.

1. Select the smallest common multiple

Out of the common multiples identified, the smallest one is chosen.

The first common multiple of 3 and 7 is 21.

The lowest common multiple of 3 and 7 is 21.

#### More Information

The LCM of two prime numbers is simply their product because they do not share any common factors other than 1.

#### Tips

A common mistake is to stop listing multiples too early and miss the LCM. Be sure to list enough multiples so you can find the common one.

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