Study guides

☆☆

Q: 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?

Write your answer...

Submit

Related questions

If the prime factorizations have no numbers in common, the LCM is their product.

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

If there are no prime factors in common, the LCM will be the product. If there are prime factors in common, the LCM will be less than the product.

If there are no prime factors in common, the LCM will be the product of the two numbers. If common factors exist, the LCM will be less. It will never be more.

5 and 11, as prime numbers, don't have prime factorizations. Their LCM is their product.

If the GCF is 1, the LCM is the product. If the GCF is more than 1, the LCM is less than the product.

If the two numbers have no common prime factors, the LCM will be the product of the numbers.

Multiply the numbers

The result of multiplying two whole numbers is called a product. It is a multiple of each of the whole numbers.

A product.

Yes. It's a multiple of each of them.

No, the factors are the whole numbers. The product is the multiple.

Yes.

yes

Yes

Yes - if two numbers share no common factors (besides 1) the least common multiple will be the product of the numbers.

Example: 30 and 42Factor them.2 x 3 x 5 = 302 x 3 x 7 = 42Combine the factors, eliminating duplicates.2 x 3 x 5 x 7 = 210, the LCMIf there are no common prime factors, the LCM is the product of the original two numbers.

multiple

Their product.

Their product.

No, not always.

Sometimes, not always.

Prime numbers or relatively prime numbers.

If the two numbers have no prime factors in common, their LCM will be their product. If there are prime factors in common, their LCM will be less than their product.

Multiply any two numbers together. Their product will be a common multiple of the two.