НОК(100,125)

To find the least common multiple (LCM) of two numbers, in this case, 100 and 125, you can use the following steps:

Step 1: Find the prime factorization of each number. The prime factorization of 100 is 2^2 * 5^2. The prime factorization of 125 is 5^3.

Step 2: Determine the highest power for each prime factor. In this case, the highest power of 2 is 2^2 and the highest power of 5 is 5^3.

Step 3: Multiply these highest powers together. 2^2 * 5^3 = 4 * 125 = 500.

Therefore, the least common multiple (LCM) of 100 and 125 is 500.