lcm of 2 and 15
Understand the Problem
The question is asking us to find the least common multiple (LCM) of the two numbers, 2 and 15. To solve it, we will determine the multiples of both numbers and find the smallest multiple they share.
Answer
The least common multiple of 2 and 15 is \(30\).
Answer for screen readers
The least common multiple (LCM) of 2 and 15 is (30).
Steps to Solve
- List the multiples of each number
Start by listing the multiples of 2 and 15.
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The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, ...
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The multiples of 15 are: 15, 30, 45, 60, 75, ...
- Identify the common multiples
Next, look for the common multiples in the lists you created.
From the lists, we can see that the common multiples are:
- 30 (first one identified)
- Determine the least common multiple (LCM)
The least common multiple is the smallest common multiple identified in the previous step.
Thus, the least common multiple of 2 and 15 is:
- 30
The least common multiple (LCM) of 2 and 15 is (30).
More Information
The least common multiple is useful in various mathematical applications, such as adding or subtracting fractions with different denominators.
Interesting fact: The LCM can also be found using prime factorization or the greatest common divisor (GCD).
Tips
Common mistakes include:
- Listing too few or too many multiples.
- Confusing multiples with factors. To avoid these mistakes, double-check your lists and ensure you are identifying multiples correctly.
