How do you get 900 as a LCM of 36 and 25?

Answer 1

To find the least common multiple (LCM) of two numbers, you need to find the smallest number that is a multiple of both numbers. To find the LCM of 36 and 25, you can start by finding the prime factorization of each number: 36 = 2^2 * 3^2 and 25 = 5^2. Then, you take the highest power of each prime factor that appears in either number, which gives you 2^2 * 3^2 * 5^2 = 900. Therefore, the LCM of 36 and 25 is 900.

Answer 2

5 x 5 = 25

2 x 2 x 3 x 3 = 36

2 x 2 x 3 x 3 x 5 x 5 = 900, the LCM

Answer 3

36 and 25 are coprime. That is, they have no factor in common. Therefore, their LCM is the same as their product which is 36*25 = 900.