LCM of 75 and 180

Question

I need to know the lcm of 75 and 180 with steps

Answer 1

First factor both numbers by dividing by successively larger prime numbers

75 = 3 * 25 = 3 * 5 * 5

180 = 2 * 90 = 2 * 2 * 45 = 2 * 2 * 3 * 15 = 2 * 2 * 3 * 3 * 5

Determine all the largest multiple of each prime and multiply them together. This will be the LCM

2 * 2 * 3 * 3 * 5 * 5 = 900