Difference between revisions of "Manuals/calci/LCM"
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For example, | For example, | ||
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What is the LCM of 2 and 5? | What is the LCM of 2 and 5? | ||
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Multiples of 2 are: | Multiples of 2 are: | ||
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, ... | 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, ... | ||
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and the multiples of 5 are: | and the multiples of 5 are: | ||
5, 10, 15, 20, 25, 30, ... | 5, 10, 15, 20, 25, 30, ... | ||
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Common multiples of 2 and 5 are simply the numbers that are in both lists: | Common multiples of 2 and 5 are simply the numbers that are in both lists: | ||
10, 30, .... | 10, 30, .... | ||
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So, from this list of the first few common multiples of the numbers 2 and 5, their least common multiple is 10. | So, from this list of the first few common multiples of the numbers 2 and 5, their least common multiple is 10. | ||
Revision as of 10:31, 12 November 2013
LCM
- LCM is the least common multiple (also known as lowest common multiple or smallest common multiple or least common denominator (LCD) of two integers a and b.
- LCM is the smallest integer that is divisible by each of them.
- The argument can be one or many integers.
For example,
What is the LCM of 2 and 5?
Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, ...
and the multiples of 5 are: 5, 10, 15, 20, 25, 30, ...
Common multiples of 2 and 5 are simply the numbers that are in both lists: 10, 30, ....
So, from this list of the first few common multiples of the numbers 2 and 5, their least common multiple is 10.
Examples
Give calci examples and different cases here.