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If the two numbers do not have any factors in common (other than 1), then the LCM is the same as the product of the two numbers. Example: LCM of 5 & 6 is 30, which is the same as the product.

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Q: Why do some numbers have their LCM and their product the same?
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Related questions

How do you change GCF into a LCM with 3 numbers?

The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.


How do you find the least common multiple that are prime?

The LCM of a set of prime numbers is their product.


Why is the LCM of 12 and 13 the same as there product but the LCM of 12 and 14 is not the same as there product?

The LCM is the product of the two numbers divided by their HCF. With 12 and 13, the HCF is 1. Therefore, the LCM will equal the product. With 12 and 14, the HCF is 2. Therefore, the LCM will be half of the product.


Numbers with the LCM of their product?

Numbers that are relatively prime have their LCM as their product.


What is the product of the GCF and LCM of two numbers?

The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.


Why does dividing the product by the GCF always give you the LCM?

In number theory, the product of two positive integers will equal the product of their GCF and LCM. Dividing that product by one of them will give you the other.


What is the relationship does the greatest common factor and the LCM have?

The product of the GCF and LCM is equal to the product of the original two numbers.


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?

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.


Is The LCM of two different prime numbers their product?

Yes,LCM of two numbers is their product.


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

If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.


How would you explain the LCM of the two numbers is their product?

The LCM of two numbers is their product if and only if the two numbers are co prime, that is their HCF is 1. Otherwise their LCM in not their product, in fact, it is their product divided by their HCF.


What is the LCM of two numbers is t (always sometimesnever) he product of the two numbers?

The LCM of two numbers is sometimes the product of the two numbers.