lcm of 6 and 22
Understand the Problem
The question is asking for the least common multiple (LCM) of the two numbers 6 and 22. To find the LCM, we look for the smallest multiple that is evenly divisible by both numbers.
Answer
The least common multiple of 6 and 22 is $66$.
Answer for screen readers
The least common multiple (LCM) of 6 and 22 is $66$.
Steps to Solve
- List the multiples of each number
First, we list out the multiples of both numbers until we find a common one.
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Multiples of 6:
- 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
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Multiples of 22:
- 22, 44, 66, 88, 110, ...
- Identify the common multiples
Next, we check for the common multiples from the two lists we created above.
- Common multiples of 6 and 22:
- 66, 132, ...
- Determine the least common multiple
From the common multiples we have identified, we can select the smallest one. The smallest common multiple is:
$$ \text{LCM}(6, 22) = 66 $$
The least common multiple (LCM) of 6 and 22 is $66$.
More Information
The least common multiple can be useful in various applications like finding a common time for events that occur at different intervals, or when needing to add or subtract fractions with different denominators. The LCM of two numbers is the smallest number that is a multiple of both numbers.
Tips
- Forgetting to list enough multiples: Sometimes, you may stop listing multiples too early and miss the LCM. It's important to give yourself enough terms to see the common multiples clearly.
- Confusing LCM with GCD: Remember that LCM is about finding the least common multiple, while GCD (greatest common divisor) focuses on the greatest divisor of both numbers.
