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Because the common multiples of any two or more numbers are infinite.

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Q: Why is there no greatest common multiple for any pair of numbers?
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Related questions

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.


What is the greatest common multiple of 1215and18?

There is no greatest common multiple of these numbers... or indeed of any pair of numbers. Once you get a common multiple, you can multiply that by any integer, as large as you want, to get a larger common multiple.


When will the greatest common factor of a pair of numbers equal the least common multiple of the same pair of numbers?

Only if the magnitudes of two numbers are the same.


What pair of numbers has a least common multiple of 35 and a greatest common factor of 7?

7 and 35


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 ÷ 14 = 70.


What is the greatest common multiple of 20 and 50?

There is no greatest common multiple of this or any pair of numbers. The least common multiple is 100 which is 5 times 20 and 2 time 50. However, 200,300,400, 500, 600, ..... are all common multiples as well.


What pair of numbers have a greatest common factor of 12?

36 and 48 12 and any multiple of 12


What numbers have a common multiple of 18?

6 and 9 are one pair of numbers with a common multiple of 18. Another pair are 9 and 18.


Can a pair of numbers have one common multiple?

No.


The greatest common factor of two numbers is 12 the least common multiple of the two is 144 the sum of the two is less than 144 what is the pair of numbers?

48 and 36


When is the greatest common factor of a pair of numbers on of the numbers?

A prime number


How small can the least common multiple of pair of numbers be?