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# When is the product of two numbers divided by the greatest common multiple the least common multiple?

Updated: 8/21/2019

Wiki User

6y ago

Never. The greatest common multiple of any two numbers is infinite.

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6y ago

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Q: When is the product of two numbers divided by the greatest common multiple the least common multiple?
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Yes.

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

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

### What is the least common multiple of 28 and 48?

The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 28 and 48 is 4. Therefore, the least common multiple is 28 x 48 &divide; 4 = 336.

### What is the least common multiple of 7 and 159?

The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 7 and 159 is 1, so the least common multiple is 7 x 159 &divide; 1 = 1113.

### What is the least common multiple of 32 and 15?

The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 15 and 32 is 1, so the least common multiple is 15 x 32 &divide; 1 = 480.

### What is the greatest common multiple of two prime numbers?

The greatest common multiple is an infinite amount and not very practical for problem solving. The least common multiple of two prime numbers is their product.

### what is the lowest common multiple of 72 and 42?

The Least Common Multiple of two numbers is equal to their product divided by their greatest common factor.The greatest common factor of 72 and 42 is 6, so their Least Common Multiple is 72 * 42 / 6 = 504.

### What is the least common multiple of 44 and 60?

The least common multiple is the product of the two numbers divided by their greatest common factor. The greatest common factor of 44 and 60 is 4, so the least common multiple is 44 x 60 &divide; 4 = 660.

### What is the least common multiple of 14 and 70?

Since 70 is a multiple of 14, it is the least common multiple. Or, you can determine it as you would any pair of numbers. The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 14 and 70 is 14. Therefore, the least common multiple 14 x 70 &divide; 14 = 70.

### When the greatest common factor is 1 is the least common multiple of these numbers always the product of the numbers?

Yes - if two numbers share no common factors (besides 1) the least common multiple will be the product of the numbers.

### What is the least common multiple of 14 and 63?

The LCM of 14 and 63 is 126. The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 14 and 63 is 7, so the least common multiple is 14 x 63 &divide; 7 = 126.

### What is the least common multiple of 5 and 23?

The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 5 and 23 is 1. (See related question "What is the greatest common factor of 5 and 23?" for this calculation.) So, the least common multiple is 5 x 23 &divide; 1 = 115.