What is LCM of 6 and 30

30

Step-by-step explanation: Find the prime factorization of 6

6 = 2 * 3

Find the prime factorization of 30

30 = 2 * 3 * 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2 * 3 * 5

LCM = 30

Multiples of 6: 6, 12, 18, 24, 30

Multiples of 30: 30, 60, 90, 120

The smallest number that is common to both lists is the LCM.

So, what number is found on both lists and is the smallest?

I see 30. Do you see 30 on both?

Answer: 30