What is the LCM of 18 and 30 using prime factorization?

Answer 1

To find the Least Common Multiple (LCM) of 18 and 30 using prime factorization, we first need to break down each number into its prime factors.

The prime factorization of 18 is 2 x 3^2, and the prime factorization of 30 is 2 x 3 x 5.

To find the LCM, we take the highest power of each prime factor that appears in either factorization. Therefore, the LCM of 18 and 30 is 2 x 3^2 x 5, which equals 90.

Answer 2

Oh honey, let's get this over with quickly. The prime factorization of 18 is 2 x 3^2, and the prime factorization of 30 is 2 x 3 x 5. To find the LCM, you take the highest power of each prime factor that appears in either number, so it's 2 x 3^2 x 5, which gives us an LCM of 90. Done and done.

Answer 3

Oh, dude, prime factorization? Like, who even uses that in real life? But fine, if you wanna know, the LCM of 18 and 30 using prime factorization is calculated by finding the common prime factors and multiplying them together. So, the prime factors of 18 are 2 x 3 x 3, and the prime factors of 30 are 2 x 3 x 5. The LCM would be 2 x 3 x 3 x 5, which equals 90.

Answer 4

2 x 3 x 3 = 18

2 x 3 x 5 = 30

2 x 3 x 3 x 5 = 90, the LCM

Answer 5

18 = 2*3*330 = 2*3*5

So LCM = 2*3*3*5 = 90.

Answer 6

105