What is the least common multiple of 18 and 49?

To find the least common multiple (LCM) of 18 and 49, follow these steps:

1. Prime factorize the numbers:

   • The prime factors of 18 are 2, 3, 3 (or 2 and 3^2)
   • The prime factors of 49 are 7, 7 (or 7^2)

2. For each prime number, take the highest power that appears in either factorization.

   • For 2, the highest power is 2^1 (from 18)
   • For 3, the highest power is 3^2 (from 18)
   • For 7, the highest power is 7^2 (from 49)

3. Multiply these highest powers together:

   • 2^1 * 3^2 * 7^2 = 2 * 9 * 49 = 882

So, the least common multiple of 18 and 49 is 882.