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When is the LCM of 2 numbers equal to the prodect of the two numbers?
Wiki User
∙ 11y ago
When the numbers are relatively prime.
Wiki User
∙ 11y ago
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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.
If the GCF of two numbers is 15 and their product is 300 what is their LCM?
The general rule is that the product of the LCM and the GCF is equal to the product of the original two numbers. That would make the answer 20. Lets overlook the fact that two numbers with a GCF of 15 and an LCM of 20 don't exist.
Is the LCM of two numbers that have no common factors their product?
The LCM of two numbers is one of the numbers when one of the numbers is a multiple of the other. The LCM of two numbers is the product of the numbers when they are relatively prime. In all other cases (like consecutive even numbers that aren't 2 and 4) the LCM is as you describe.
What is th LCM of 4512?
Two or more numbers are needed to find their LCM
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 operation that gives the prodect of two numbers?
It is multiplication
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.
What is the relation between HCF and LCM?
Since the product of two numbers is equal to the product of their GCF and LCM, the GCF of two numbers is equal to their product divided by their LCM and their LCM is equal to their product divided by their GCF.
Can the LCM and the GCF of two numbers be equal?
only if they are equal
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.
How do you find the LCM using GCF?
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
What is the Multiplication of HCF and LCM of two number?
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
How do you find two numbers if HCF and LCM are known?
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
When is the LCM of 2 numbers equal to the product of the 2 numbers?
When the two numbers are relatively prime.
Are the GCF and LCM of two numbers always equal?
Hardly ever.
How do you find GCF knowing LCM?
The LCM of two numbers multiplied by their GCF will equal the product of the original numbers. If you know the LCM, divide it into the product. The result will be the GCF.
What is the connection between a common factor and the common multiples of two numbers?
The product of the GCF and LCM of two numbers will equal the product of the two numbers.
