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When the two numbers are relatively prime.

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Q: When is the LCM of 2 numbers equal to the product of the 2 numbers?
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Related questions

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.


Is the product of the 2 original numbers equal to the product of the HCF and the LCM?

Yes.


Why is the least common multiple of 2 prime numbers their product?

Because prime numbers don't have any common prime factors. Their GCF is 1. Since the product of the GCF and LCM of a pair of numbers equals the product of the numbers, the LCM has to be equal to the product.


Why is the LCM of 12 and 13 the same as there product but the LCM of 12 and 14 is not the same as there product?

The LCM is the product of the two numbers divided by their HCF. With 12 and 13, the HCF is 1. Therefore, the LCM will equal the product. With 12 and 14, the HCF is 2. Therefore, the LCM will be half of the product.


What is the product of the GCF and LCM of 4 and 6?

2 x 12 = 24, but there's an easier way if you remember that the product of the GCF and LCM of a pair of numbers will always be equal to the product of the two numbers.


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 is 1, the LCM is the product. If the GCF is more than 1, the LCM is less than the product.


Is the LCM of 2 numbers the product of the 2 numbers?

Sometimes, not always.


What is the LCM of 2 consecutive even numbers?

Their GCF will be 2. Their LCM will be half their product.


What is the LCM of 2 consecutive numbers?

Their product.


Is it true that the LCM of 2 numbers is the product of the 2 numbers?

Only if the numbers are co-prime.


When is the LCM of two numbers neither of the number nor the product of the two numbers?

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 Multiples equal to the product of 2 numbers?

All multiples are equal to the product of two numbers.


The product of 2 numbers is 1600 and their gcd is 2 what is the LCM?

800


What is the LCM of 2 26 39?

The LCM is 78.


Product of 2 prime numbers is equal to product of 2 other prime numbers?

No, the product of two prime numbers is unique.


How do you the GCFand LCM of 16 and 18?

The GCF of consecutive even numbers is 2. The LCM of consecutive even numbers is their product divided by 2.


When is the LCM of 2 numbers equal to the prodect of the two numbers?

When the numbers are relatively prime.


The product of 3 numbers is 1620the HCF of any 2 numbers is 3find their LCM?

The LCM of 3, 15 and 36 is 180.


If the LCM of two numbers is the product of those numberswhat can you say about the 2 numbers?

They are relatively prime.


How do you find a pair of whole numbers whose product is 280 and whose LCM is 140?

They are 2 and 140 because their LCM is 140 and their product is 280


When is the least common multiple neither the two numbers nor the product of the two numbers?

The LCM of two numbers is one of the two numbers when that number is a multiple of the other. The LCM is the product of two 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.


Is it possible for the LCM of 2 numbers to be the product of those 2 numbers?

Yes, if they have no common factors other than one.


How can you determine if whether the LCM of 2 numbers is the product of the numbers?

If they have no common factors other than 1.


If 13 is HCF of 2 number whose product is 1690 find the LCM?

To find the LCM, you multiply the numbers together and then divide by the HCF. In this case, we don't know the numbers, but we have the HCF (13) and we have the product of the numbers (1690). Thus all you do is divide 1690 by 13 to get: 1690/13 = 130 And thus the LCM of two numbers whose hcf is 13 and product is 1690 is 130.


What is the LCM of 2 numbers that have no common factors greater than 1?

Their product.