Manuals/calci/LCM

LCM()

• Parameters are any set of numbers.
• LCM() returns the least common multiple.

Description

• LCM is the least common multiple (also known as lowest common multiple or smallest common multiple or least common denominator (LCD) of a set of integers a,b,c,...,n.
• LCM is the smallest integer that is divisible by each of them.
• The argument can be one or many integers.

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

• =LCM(10,20) =20
• =LCM(1,2,3,4,5) = 60
• =LCM(12,19,23,17)= 89148
• =LCM(1.2,1.3,1.4,1.5,3.4,5.3)= 15
• =LCM(-2,-4,8,12) = #N/A (LCM NOT DEFINED FOR -VE NUMBERS)

Related Videos

LCM

See Also

• GCD

References

• LCM
• GCD (Greatest Common Divisor)

• List of Main Z Functions

• Z3 home