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Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Combine the factors, eliminating duplicates.

2 x 3 x 5 x 7 = 210, the LCM

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Q: How do you use prime factorizations to find the LCM of two?
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Related questions

How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?

If the prime factorizations have no factors in common, the LCM is the product of them.


What is the LCM of 8 and 28?

The LCM is 56 which is 28 x2.If we write the prime factorizations of the two numbers we have:28=22 x78=23Now to find the LCM we multiply 23 x71 =56.56.


Can you find the LCM of a prime number?

No. You can only find the LCM of at least two numbers, prime or otherwise. The LCM of any two prime numbers is their product.


How can you determine from the prime factorizations whether the least common multiple of two numbers is the product of the numbers or is less than the product of the two numbers?

If none of the prime factors are in common, the LCM will be the product of the two.


Is there a number with two prime factorizations?

No.


How many numbers are in a prime factorizations have?

At least two.


How do you use prime factorizations to find the LCM of two numbers examples?

Example: 30 and 42 2 x 3 x 5 = 30 2 x 3 x 7 = 42 2 x 3 x 5 x 7 = 210, the LCM


How do you find the LCM of 2 numbers if one number is prime?

If the second number is a multiple of the prime number, than the LCM is the second number. If the second number is not a multiple of the prime number, then the two numbers are relatively prime, and the LCM is the product of the two numbers.


What is the LCM of 34x52x7?

That appears to be the prime factorization of 14175. If you compare that to the prime factorization of another number, you will be able to find the LCM between the two.


What is the LCM of 3x3x3x2x2x2x2?

You have written the prime factorization for 432. You need at least two numbers to find an LCM.


How are lcm and gcf alike?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.


How do you find the LCM of a composite number?

You need at least two numbers to find an LCM. It doesn't matter whether they are prime or composite.