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# If you know that two numbers are relatively prime can you predict what the least common multiple will be?

Updated: 12/9/2022

Wiki User

11y ago

The least common multiple of two numbers is the product of those two numbers, divided by the greatest common factor of those two numbers. Two numbers that are relatively prime have a greatest common factor of 1. So, when the two numbers are relatively prime, the least common multiple is the product of both numbers divided by 1. So, when two numbers are relatively prime, the least common multiple is the product of the two numbers.this is wron

Wiki User

11y ago
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Q: If you know that two numbers are relatively prime can you predict what the least common multiple will be?
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### What two numbers have the same product as their least common multiple?

Prime numbers or relatively prime numbers.

### Is the product always the least common multiple of the numbers?

No, only if the numbers are relatively prime.

### When will the Least Common Multiple LCM of two numbers be the product?

When the two numbers have no common factors. This is called relatively prime.

### What is the least common factor when numbers are relatively prime?

The least common factor of any set of positive integers is 1. The least common multiple of relatively prime numbers is their product.

### Can you predict what the least common multiple will be if the greatest common factor of two numbers is 1?

Yes, the LCM will be the product of the original two numbers.

### What least common multiple equals the product of the two numbers?

If the least common multiple of two numbers equals the product of the two numbers, then the numbers are relatively prime, that is their highest common factor is 1. For example, the numbers 10 and 21: The lcm is 10 x 21 = 210 They are relatively prime since their hcf is 1.

### What is a 2 numbers who have a least common multiple and a if you multiply them together you get the answer of there least common multiple?

Two numbers that are relatively prime (have a GCF of 1) like 25 and 36, will have their product as the LCM.

### What are the two numbers if they are relatively prime and their sum is 20 and their least common multiple is 99?

If the two numbers are relatively prime, their least common multiple is their product. The prime factors of 99 are 3, 3, and 11. Since the two numbers are relatively prime, the possibilities are 9 and 11 or 1 and 99. The pair of 9 and 11 add up to 20 and their least common multiple is 99. So, 9 and 11 are the two numbers.

### What is the least common multiple of 5 7 6?

The numbers 7,6, and 5 have no common factors. We call such numbers relatively prime.When we want the LCM of relatively prime numbers we find it by looking at their product.This mean we multiply them, so we have 7x6x5=210210

### What is the least common multiple of 2 coprime numbers?

The least common multiple of two numbers is the product of those two numbers divided by their greatest common factor. It the two numbers are coprime (or relatively prime), their greatest common factor is 1. Therefore, their least common multiple is a x b &divide; GCF (of a and b) = a x b &divide; 1 = a x b. The least common multiple of two coprime numbers is the numbers multiplied together.

### When is the least common multiple of two numbers equal to their product?

When the two numbers are relatively prime (their GCF is 1)