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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.

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Q: For a given pair of numbers how can you tell whether the least common multiple will be less than or equal to their product?
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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.


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 that the product of the two numbers?

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.


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 tell from the prim factorizations whether the least common multiple of two numbers is a product of two numbers or is less than the product of two numbers?

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.


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.


Can you find the least common multiple in prime number?

The least common multiple (LCM) refers to a multiple that is COMMON to two or more numbers. If you have only one number - whether or not it is a prime - you cannot have a least COMMON multiple.


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.


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


How can determine from the prime factorizations wheather the least common multiple of two numbers of the product of numbers or is less then the product of two numbers?

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


What is the common multiple of?

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


How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product if the numbers?

By finding out whether they have any factors in common. If the only factor they have in common is 1, the LCM will be their product. If they have more factors in common, their LCM will be less than their product.


What is the relationship between the product of two numbers and the product of the least common multiple and greatest common factor of those two numbers?

They are equivalent.


What is the least common multiple of two different prime numbers?

The least common multiple of two different prime numbers is the product of those two prime numbers.


How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product of the 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.


What is the greatest common multiple of two prime numbers?

The greatest common multiple is an infinite amount and not very practical for problem solving. The least common multiple of two prime numbers is their product.


What two numbers have no common multiples?

There is no such thing. If you multiply any two numbers, you'll have a number that is a multiple of both. This product won't necessarily be the LEAST common multiple, but it is a common multiple nonetheless.


Is the product of two numbers always a common multiple of those numbers?

Yes.


Is the product of two whole numbers always a common multiple of he numbers?

yes


Is the product of two whole numbers a common multiple of the two numbers?

Yes


What is the least common multiple of numbers that don't have any common factor?

Their product.


Why is the least common multiple of two numbers their product divided by their greatest common factor?

The product of two numbers is equal to the product of their GCF and their LCM. Divide the original product by one of them, you will get the other.


What is a pair of numbers where the least common multiple is the same as the product of that number?

the least common multiple of 5 and 6 is 30 and 30 is the product of 5*6


What is lowest common multiple of two consecutive numbers?

Their product.


Is the product always the least common multiple of the numbers?

No, not always.