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What are two numbers whose LCM is less than their product?
The LCM of 4 and 6 is 12.
Why do some numbers have their LCM and their product the same?
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.
How can you determine from the prime factorization wheather the least common multiple of two numbers is the prouduct of the numbers or is less then the prouduct of two numbers. explain your thinking?
If the two numbers have no common factors (other than 1), then the LCM is equal to the product of the two numbers. If they have some factors in common, then those factors need only be used once when multiplying, so the LCM will be less than the product of the two numbers.
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.
Can the LCM of a pair of numbers ever be less than both numbers?
No.
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.
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 numbers whose LCM is less than their product?
The LCM of 4 and 6 is 12.
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.
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.
Which is greater gcf or LCM?
The LCM of two numbers will never be less than the GCF.
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.
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.
What are 2 numbers hos least common multiple is less than the product of the numbers?
The LCM of 10 and 15 is 30.
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.
