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# What is the difference between the least common multiple and the greatest common multiple?

Updated: 4/28/2022

Wiki User

11y ago

The least common multiple, or LCM, is the smallest integer that all the members of a given set of numbers will divide into evenly with no remainder. The greatest common multiple is infinite.

Wiki User

11y ago

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Q: What is the difference between the least common multiple and the greatest common multiple?
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### What's the difference between a greatest common factor and a least common multiple?

Difference Between GCF and LCM. The Greatest Common Factor (or the GCF) is the greatest real number shared between two integers. ... On the other hand, the Lowest Common Multiple (or LCM) is the integer shared by two numbers that can be divided by both numbers

### What is the difference between the greatest common factor and the least common multiple of 12 and 18?

And the GCF is 6. That makes the difference between the two 30.

360 - 18 = 342

120 - 24 = 96

### What is the difference between the GCF and th GCM of 18 and 360?

-- The difference is that the 'GCF' is a well respected and very useful conceptin arithmetic, whereas there is no such thing as the 'GCM'.-- The Greatest Common Factor of 18 and 360 is 18 .-- There is no Greatest Common Multiple. If someone walks in with number thathe claims is the Greatest Common Multiple of 18 and 360, simply add 360 to itand you'll have a new common multiple that's greater than his number.-- The Least Common Multiple of 18 and 360 is 360 .-- The difference between the GCF and the LCM of 18 and 360 is 342 .

### What is the greatest common multiple between 12 and 15?

There is no "greatest common multiple" for any pair of numbers. If you meant greatest common factor, the answer is 3.

### Why can you identify the greatest common multiple between numbers?

The greatest common multiple of any set of integers is infinite.

### What is the difference between the gcf and gcd?

If that's greatest common factor and greatest common divisor, there is no difference between them.

### What is the difference between the greatest common factor and the least common multiple of 10 and 18?

90 - 2 = 88 2 - 90 = -88

### What is the greatest common multiple between 20 28 36?

The greatest common multiple is infinite and not very practical for problem solving.

### Is there a difference between greatest common factor and greatest common multiple?

Yes. The GCF is the largest number that can divide evenly with no remainder into all the members of a given set of numbers. The GCM is infinite.

### What is the greatest common multiple of 2?

You need at least two numbers to find something in common between them but the greatest common multiple of any set of integers is infinite.