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# How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?

Updated: 8/30/2023

Wiki User

6y ago

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.

Wiki User

8y ago
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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Wiki User

6y ago

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

Wiki User

8y ago

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.

Wiki User

11y ago

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

Wiki User

7y ago

If the GCF of the two numbers is 1, the LCM will be their product. IF the GCF is greater than one, the LCM will be less than the product.

Wiki User

9y ago

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.

Wiki User

8y ago

If they have common factors other than one.

Wiki User

5y ago

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.

Wiki User

9y ago

If the numbers are coprime (their greatest common factor is 1) then their LCM is their product.

Wiki User

7y ago

Sometimes, not always.

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Q: How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?
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### 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.

### 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.

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

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

### When the greatest common factor is 1 is the least common multiple of these numbers always the product of the numbers?

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

### What is the least common multiple of 14 and 70?

Since 70 is a multiple of 14, it is the least common multiple. Or, you can determine it as you would any pair of numbers. The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 14 and 70 is 14. Therefore, the least common multiple 14 x 70 &divide; 14 = 70.

### When is the product of two numbers divided by the greatest common multiple the least common multiple?

Never. The greatest common multiple of any two numbers is infinite.

### What is the common multiple of?

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

yes

### If you know that two numbers are relatively prime can you predict what the least common multiple will be?

The least common multiple of two numbers is the product of those two numbers, divided by the greatest common factor of those two numbers. Two numbers that are relatively prime have a greatest common factor of 1. So, when the two numbers are relatively prime, the least common multiple is the product of both numbers divided by 1. So, when two numbers are relatively prime, the least common multiple is the product of the two numbers.this is wron

Their product.

Their product.

### What is the least common multiple of 43 and 7?

The least common multiple of the numbers 7 and 43 is 301.