What is the least common multiple of 6 and 7?
Understand the Problem
The question is asking for the least common multiple of the numbers 6 and 7. The least common multiple is the smallest number that is a multiple of both 6 and 7.
Answer
42
Answer for screen readers
$42$
Steps to Solve
- List multiples of 6
We list the multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48,...
- List multiples of 7
We list the multiples of 7: 7, 14, 21, 28, 35, 42, 49,...
- Identify the smallest common multiple
The smallest number that appears in both lists is 42.
- Since 6 and 7 are coprime, we can multiply them to get the least common multiple $6 \times 7 = 42$
$42$
More Information
The least common multiple of 6 and 7 is 42.
Tips
A common mistake is to confuse the least common multiple with the greatest common factor. The greatest common factor of 6 and 7 is 1.
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