What is the least common multiple of 4 and 12?

Understand the Problem

The question is asking for the least common multiple (LCM) of the numbers 4 and 12. To find the LCM, we will identify the multiples of both numbers and determine the smallest multiple they share.

Answer

12
Answer for screen readers

The least common multiple (LCM) of 4 and 12 is 12

Steps to Solve

  1. List multiples of each number

List the first few multiples of each number.

  • Multiples of 4: 4, 8, 12, 16, 20, 24, ...
  • Multiples of 12: 12, 24, 36, 48, ...
  1. Identify common multiples

Look for common multiples in the lists.

  • Common multiples: 12, 24, ...
  1. Find the smallest common multiple

Select the smallest common multiple from the list.

  • The smallest common multiple is 12

The least common multiple (LCM) of 4 and 12 is 12

More Information

The LCM of two numbers is the smallest number that is a multiple of both. It's useful for adding, subtracting, or comparing fractions with different denominators.

Tips

A common mistake is forgetting to list enough multiples to find the common ones. Always ensure you list a few multiples for better accuracy.

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