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When is the LCM of two number equal to their product?

Updated: 8/21/2019
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6y ago

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When the two numbers are coprime. Coprime numbers need not be prime numbers - they must not have any factor in common (other than 1).

So, for eaxmple, neither 8 nor 9 are prime numbers but they are coprime and so,

LCM(8 , 9) = 72

Read more: When_is_the_LCM_of_two_numbers_equal_to_the_product_of_the_two_numbers

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11y ago
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Q: When is the LCM of two number equal to their product?
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Related questions

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 will I find a number when the LCM is 252 and HCF is 14 and the first number is 28?

The product of the GCF and LCM of two numbers is equal to the product of the two numbers. The other number is 126.


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.


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.


Is the LCM of two different prime number always equal to their product?

Yes.


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 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 check lcm answer?

One way to check: The product of the original two numbers is equal to the product of their GCF and LCM. If you divide that product by their GCF, you will get the LCM.


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.


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.


The product of two number is 20736 and their HCF is 54 find the LCM?

LCM = Product/HCF = 384


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.