Least Common Multiple LCM Calculator

Calculator and example for calculating the least common multiple


The result of this function is the least common multiple (LCM) of the integers a and b.

To perform the calculation, enter the values for a and b, then click the 'Calculate' button.


Least common multiple calculator

 Input
Integer a
Integer b
 Result
Least multiple

Example of the least common multiple


This example shows how to calculate the least common multiple of the integers 18 and 30.


Multiples of 18 and 30 are:

\(V_{18} = \{18, 36, 54, 72, 90, 108, 126, 144, 162, 180, \dots\} \)
\(V_{30} = \{30, 60, 90, 120, 150, 180, 210, 240, \dots\} \)

The common multiples are marked.

\(V_{18} = \{18, 36, 54, 72, \underline{90}, 108, 126, 144, 162, \underline{180}, \dots\} \)
\(V_{30} = \{30, 60, \underline{90}, 120, 150, \underline{180}, 210, 240, \dots\} \)

Find and mark the least common multiple

\(V_{18} = \{18, 36, 54, 72, \color{blue}{\underline{90}}, 108, 126, 144, 162, \underline{180}, \dots\} \)
\(V_{30} = \{30, 60, \color{blue}{\underline{90}}, 120, 150, \underline{180}, 210, 240, \dots\} \)

Result

Formula of least common multiple


Absolute ChangeAll divisors of an integerAverageBinomial formulasCommon divisors of two integersConsecutive integersCross multiplicationDiamond problemDigit sumDigital rootDirect variationDivision with remainderElementary arithmeticFactorialFOIL MethodInverse cross multiplicationInverse moduloGreatest common divisorLeast common multipleModuloMultiplicative inverseRelative Change


Is this page helpful?            
Thank you for your feedback!

Sorry about that

How can we improve it?