Least Common Multiple (LCM) calculator - finds LCM for up to three given numbers and shows process of dividing by primes as for school-like interpretation.
Some facts
Least common multiple is the smallest positive integer that is a multiple of two or more numbers. This means also, it can be divided by these numbers without a reminder.
Example 1: numbers 2 and 3 have LCM 6 because 6 divides completely by both two and by three.
Example 2: A number of 4 and 10 have LCM 20, because 20 divides completely by both 4 and 10.
As you can see in the first example, LCM was the product (multiplication) of the given numbers. However, in the second example is a much smaller number.
Least common multiple (LCM) is sometimes called lowest common multiple or smallest common multiple
LCM is mainly useful as lowest common denominator for fractions.
"Calculla v1" version of this calculatorIn December 2016 the Calculla website has been republished using new technologies and all calculators have been rewritten. Old version of the Calculla is still available through this link: v1.calculla.com. We left the version 1 of Calculla untouched for archvial purposes. Direct link to the old version:
Enter numbers
If you need only 2 numbers - just leave 3rd field empty!
Enter number #1
Enter number #2
Enter number #3
36 18 9 3 1
2 2 3 3
31752 15876 7938 3969 1323 441 147 49 7 1
2 2 2 3 3 3 3 7 7
Results
Least common multiple (LCM)
31752
LCM prime factors
2^{3} × 3^{4} × 7^{2}
Greatest Common Divisor (GCD)
36
GCD prime factors
2^{2} × 3^{2}
Processing time (performance)
1
ms
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