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What is the least common multiple (LCM) of 11 and 2?
What is the least common multiple (LCM) of 11 and 2?
22
Explain why the LCM of 11 and 2 is 22.
Explain why the LCM of 11 and 2 is 22.
22 is the first multiple that both 11 and 2 share.
Provide a method to determine the LCM of 11 and 2.
Provide a method to determine the LCM of 11 and 2.
List the multiples or use the formula: LCM(a, b) = |a*b| / GCD(a, b).
How would the LCM change if we calculated the LCM of 11, 2, and 3?
How would the LCM change if we calculated the LCM of 11, 2, and 3?
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Is the LCM of 11 and 2 always going to be 22?
Is the LCM of 11 and 2 always going to be 22?
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Study Notes
Least Common Multiple
- The least common multiple (LCM) of 11 and 2 is 22.
- This is because 22 is the smallest number that is a multiple of both 11 and 2.
- The multiples of 11 are: 11, 22, 33, 44, and so on.
- The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, and so on.
- The LCM of 11 and 2 is the smallest number that appears in both lists which is 22.
Method to Determine LCM
- To determine the LCM of two numbers, one method is to list out the multiples of each number until a common multiple is found.
- Alternatively, you can use the prime factorization method, where you find the prime factors of each number and multiply the highest powers of all the prime factors together.
Changing the LCM
- If we calculated the LCM of 11, 2, and 3, the LCM would change to 66.
- This is because 66 is the smallest number that is a multiple of 11, 2, and 3.
- The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, and so on.
LCM of 11 and 2
- The LCM of 11 and 2 is not always 22.
- If the numbers change, then their LCM will also change.
- For example, if we change 2 to 3, the LCM will be 33.
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Description
Test your understanding of the least common multiple (LCM) with this quiz focusing on the LCM of numbers, specifically 11 and 2. You'll explore the reasons behind why the LCM is 22 and how to calculate it. Additionally, you'll consider the implications of adding another number into the mix.
