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Q: What is the LCM of the numbers 126 and 45 using prime factorization?

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the LCM of 42 and 126 using a prime factorization is 2 times 2 times 3

You need at least two numbers to find an LCM.

It is: 126

You need at least two numbers to find a GCF, whichever method you use.

As a product of its prime factors: 2*3*3*7 = 126

2 x 32 x 7 = 126

126 (which is not a prime power factorization) has 12 factors.

2x3x3x7

2 x 32 x 7

It is: 2*32*7 = 126

126 63,2 21,3,2 7,3,3,2

126 63,2 21,3,2 7,3,3,2

63 = 3x3x7 84 = 2x2x3x7 126 = 2x3x3x7 GCF = 2x2x3x3x7 = 252

42 126 ^ ^ 7x6 14x9 ^ 3x2 ^ ^ 7x2 3x3 7x3x2=LCM is 42

The prime factorization of a number is the primes whose product gives you that number.126/2 = 6363/3 = 2121/3 = 7The bold numbers are the primes. The prime factorization is just the product of these numbers. In this case: 2 x 3 x 3 x 7.Or simplified:2 x 32 x 7

That's not a prime factorization because 9 isn't prime, but it does represent the number 126.

Bad example. 42 is a factor of 126. Therefore 126 has to be the LCM. By the numbers... 2 x 3 x 7 = 42 2 x 3 x 3 x 7 = 126, the LCM

126 = 2 x 32 x 7

First, you have to find the number that is a multiple of 7. That number is 126 because 7 x 18 = 126. Then, you need to find the prime factorization. You can do that by starting with any factor pair of 126 and keep factoring the composite factors until all factors are prime. 126: 2 x 61 Since 2 and 61 are prime, that is the prime factorization of 126.

126 = 2 × 32 × 7

As a product of its prime factors: 2*3*3*7 = 126 or as 2*32*7 = 126

The prime factors of 126 are 2, 3 and 7

2x32x72 x 3 x 3 x 7 = 126

126 = 2 x 3 x 3 x 7

126 = 2 × 32 × 7