lcm of 15 and 2
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 15 and 2. To find the LCM, we need to identify the smallest number that is a multiple of both 15 and 2.
Answer
The least common multiple (LCM) of 15 and 2 is $30$.
Answer for screen readers
The least common multiple (LCM) of 15 and 2 is $30$.
Steps to Solve
- List the multiples of each number
Start by listing the multiples of both numbers, 15 and 2.
Multiples of 15: 15, 30, 45, 60, 75, 90, ...
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, ...
- Identify the common multiples
Now, look for the numbers that appear in both lists.
The common multiples of 15 and 2 from the lists are: 30, 60, 90, ...
- Find the smallest common multiple
From the common multiples identified, the smallest one is the least common multiple (LCM).
Thus, the LCM of 15 and 2 is: $$ \text{LCM}(15, 2) = 30 $$
The least common multiple (LCM) of 15 and 2 is $30$.
More Information
The least common multiple is the smallest number that two or more integers can divide without leaving a remainder. Finding the LCM can be particularly helpful when adding or subtracting fractions with different denominators.
Tips
- Forgetting to check all multiples may lead to an incorrect LCM.
- Confusing LCM with the greatest common divisor (GCD).
