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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

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13y ago
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Natan Tesfalem

Lvl 1
3y ago
What about LCM(8,10)=40 ,and they have common factor 2?

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Q: When is the LCM of two numbers equal to the product of the two numbers?
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Related questions

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 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.


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 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 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 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 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.


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.


When is the LCM of 2 numbers equal to the product of the 2 numbers?

When the two numbers are relatively prime.


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.


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.


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.