What is the LCM of 6 and 9?
Understand the Problem
The question is asking to find the Least Common Multiple (LCM) of the numbers 6 and 9. The LCM is the smallest positive integer that is divisible by both numbers.
Answer
18
Answer for screen readers
18
Steps to Solve
- List the multiples of each number
List the multiples of 6 $$ 6, 12, 18, 24, 30, 36, ... $$ List the multiples of 9 $$ 9, 18, 27, 36, 45, ... $$
- Identify the common multiples
From the lists above, identify the multiples that are common to both 6 and 9. $$ 18, 36, ... $$
- Determine the Least Common Multiple (LCM)
The least common multiple is the smallest number in the list of common multiples. In this case, it is 18.
18
More Information
The Least Common Multiple (LCM) is useful for adding and subtracting fractions with different denominators.
Tips
A common mistake is to find the Greatest Common Factor (GCF) instead of the Least Common Multiple (LCM). Remember that the LCM is a multiple of both numbers, while the GCF is a factor of both numbers.
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