Question
What is the least common multiple of 15 and 25?(1 point) Responses 3 3 5 5 30 30 75
Answers
GPT-4o mini
To find the least common multiple (LCM) of 15 and 25, we can use the prime factorization method.
1. Prime factorization:
- \(15 = 3 \times 5\)
- \(25 = 5^2\)
2. Identify the highest powers of all prime factors:
- For the prime factor 3: highest power is \(3^1\)
- For the prime factor 5: highest power is \(5^2\)
3. Multiply these together to find the LCM:
\[
LCM = 3^1 \times 5^2 = 3 \times 25 = 75
\]
Thus, the least common multiple of 15 and 25 is \(75\).
1. Prime factorization:
- \(15 = 3 \times 5\)
- \(25 = 5^2\)
2. Identify the highest powers of all prime factors:
- For the prime factor 3: highest power is \(3^1\)
- For the prime factor 5: highest power is \(5^2\)
3. Multiply these together to find the LCM:
\[
LCM = 3^1 \times 5^2 = 3 \times 25 = 75
\]
Thus, the least common multiple of 15 and 25 is \(75\).