To find the Least Common Multiple (LCM) of 5, 9, and 15, we can follow these steps:
1. Find the prime factorization of each number:
- 5 = 5 (already prime)
- 9 = 3 * 3
- 15 = 3 * 5
2. Identify the highest power of each prime factor that appears in any of the numbers:
- 2 appears 0 times
- 3 appears 2 times (from 9)
- 5 appears 1 time (from 5)
3. Multiply these highest powers:
LCM(5, 9, 15) = 3^2 * 5 = 9 * 5 = 45
Therefore, the LCM of 5, 9, and 15 is 45.
