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There is no greatest common multiple: for whatever value you say is the greatest I can always add their lowest common multiple (for 40 and 56 it is 280) and get an even greater common multiple.

There is a greatest common FACTOR or a LOWEST common multiple:

gcf(40, 56) = 8

lcm(40, 56) = 280

Using the factorisation method:

40 = 2³ x 5

56 = 2³ x 7

hcf = 2³ = 8

lcm = 2³ x 5 x 7 = 280

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8y ago
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8y ago

There is no such thing as a "greatest common multiple" of two numbers (or of one number, or of any set of numbers)! Once you find a common multiple (for example, calculating the LEAST common multiple, or simply multiplying the two numbers together), you can always find a larger common multiple - for example, just multiply the common multiple you found by 2. Since you can do this again, and again, and again... and always get a common multiple, there is no largest such number.In math, it is often convenient to find:

* The least common multiple, or

* The greatest common factor


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Q: What is the greatest common multiple of 40 56?
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