Answer:
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