What is the least common multiple of 3 and 9?

Understand the Problem

The question is asking for the least common multiple (LCM) of the numbers 3 and 9. The LCM is the smallest number that is a multiple of both numbers. To find it, we examine the multiples of each number and identify the smallest common one.

Answer

9
Answer for screen readers

The final answer is 9

Steps to Solve

  1. List the multiples of each number

List the first few multiples of each number until we find a common multiple.

  • Multiples of 3: 3, 6, 9, 12, 15, 18, ...
  • Multiples of 9: 9, 18, 27, 36, ...
  1. Identify the common multiples

Find the smallest number that appears in both lists of multiples. In this case, it is 9.

  1. Confirm the answer

Check if the identified number is indeed a multiple of both original numbers. 9 is a multiple of both 3 and 9.

The final answer is 9

More Information

The least common multiple (LCM) can be a useful concept in various real-world applications, such as finding common meeting times or synchronized repeating events.

Tips

A common mistake is to stop listing multiples too early. Make sure to list enough multiples of each number until you find the common one.

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