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Q: What is the LCM of 12 and 21 using prime factorization?

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The LCM of the given two numbers using prime factorization is 36

The LCM of 12 and 27 is 108

It is: 60

24 is the prime number for 12 and 36

The LCM of the given two numbers is 48

They are: 12 and 360 respectively

5 2 x 2 x 3 = 12 2 x 2 x 3 x 5 = 60, the LCM

That's a lot of extra work for this problem but here goes. 3 is already prime so it doesn't really have a factor tree or prime factorization. The prime factorization of 4 is 2 x 2 which looks like this in a factor tree.42,23 and 4 have no common prime factors, so the LCM is their product, 12

12=22x3 15=3x5 So the LCM of 2, 12 and 15 is 22x3x5 = 60

12 is not a prime factorization.

the prime factorization of 12 in exponents is 2 to the second power times 3

22 x 3 = 12

22 x 3 = 12

2 x 2 x 3 = 12 3 x 5 = 15 2 x 2 x 3 x 5 = 60, the LCM

2 x 2 x 3 = 12 3 x 7 = 21 2 x 2 x 3 x 7 = 84, the LCM

22 x 3

2 x 2 x 3 = 12 3 x 7 = 21 2 x 2 x 3 x 7 = 84, the LCM

2 x 2 x 3 = 12 3 x 5 = 15 2 x 2 x 3 x 5 = 60, the LCM

2 x 2 = 4 2 x 3 = 6 2 x 2 x 3 = 12, the LCM

That's the prime factorization of 140.

2 x 2 x 2 = 8 2 x 2 x 3 = 12 2 x 2 x 2 x 3 = 24, the LCM

It is: 2^2 times 3^1 = 12

Divide them by prime numbers until all the factors are prime. 3 is already prime. The prime factorization of 6 is 2 x 3. The prime factorization of 12 is 2 x 2 x 3. If you're looking for the GCF, select the common factors. The GCF is 3. If you're looking for the LCM, combine the factors, eliminating duplicates. 2 x 2 x 3 = 12, the LCM.

The prime factorization of 12 is 2 x 2 x 3

2 x 2 x 2 = 8 2 x 2 x 3 = 12 2 x 2 x 2 x 3 = 24, the LCM