Find the Least Common Multiple (LCM) of each of the following. Type your answer in the space provided. (2pts each)(21 - 22)   15 and 25 =

To find the Least Common Multiple (LCM) of 15 and 25, follow these steps:

1. First, list the prime factors of each number.

   • The prime factors of 15 are 3 and 5.
   • The prime factors of 25 are 5 and 5.

2. Next, for each prime factor, take the highest count of this factor from all numbers.

   • The highest count of 3 from both numbers is 1 (from 15).
   • The highest count of 5 from both numbers is 2 (from 25).

3. Then, multiply each prime factor the greatest number of times it occurs in either number.

   • Multiply 3 (1 time) and 5 (2 times) together.

4. The result is the LCM.

   • So, 355 = 75.

Therefore, the Least Common Multiple (LCM) of 15 and 25 is 75.