what is the least common multiple of 15 and 10?

Explanation:

Step1: Prime factorize 15 and 10

Prime factorization of (15 = 3\times5), prime factorization of (10 = 2\times5).

Step2: Find LCM using prime factors

To find the least common multiple (LCM), we take the highest power of each prime number present. For prime 2, highest power is (2^1); for prime 3, highest power is (3^1); for prime 5, highest power is (5^1). Then (LCM = 2\times3\times5 = 30).

Answer:

30