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Pairs with common factors other than 1.

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Q: What pairs have a LCM that is less than the product?
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Related questions

How do you know when two pairs of numbers will have an LCM that is less than the product of the numbers?

When their GCF is greater than 1. When they have prime factors in common.


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 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.


Find two pairs of numbers whose least common multiple is less than the product of the numbers?

4 and 6 6 and 8 Any time the two numbers have a common factor, their LCM will be less than the product because the common factor contributes to the LCM fewer times than it contributes to the product.


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 explain?

If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.


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 are two pairs of numbers whose LCM is less than the product of the numbers?

4 and 9 7 and 8


What are two numbers whose LCM is less than their product?

The LCM of 4 and 6 is 12.


Given a pair of numbers how can you tell whether their least common multiple will be less than or equal to their product?

Given any number, there is an even number that exists greater than it. That even number is a product: of 2 and some number. Therefore, the number that you started with is less than the product of a pair of numbers.


Is the LCM of all pairs of odd numbers sometimes or always or never their product?

Sometimes.


What are some examples of number pairs that have the LCM as their product?

7 and 11, 9 and 10


Is the LCM of a pair of numbers ever less than both numbers?

The LCM for any pair of natural numbers can be as big as their product.