lcm

lcm Function

Syntax:

lcm &rest integers → least-common-multiple

Arguments and Values:

integer—an integer .

least-common-multiple—a non-negative integer .

Description:

lcm returns the least common multiple of the integers.

If no integer is supplied, the integer 1 is returned.

If only one integer is supplied, the absolute value of that integer is returned.

For two arguments that are not both zero,

(lcm a b) ≡ (/ (abs (* a b)) (gcd a b))

If one or both arguments are zero,

(lcm a 0) ≡ (lcm 0 a) ≡ 0

For three or more arguments,

(lcm a b c ... z) ≡ (lcm (lcm a b) c ... z)

Examples:

(lcm 10) → 10 
(lcm 25 30) → 150 
(lcm -24 18 10) → 360 
(lcm 14 35) → 70 
(lcm 0 5) → 0 
(lcm 1 2 3 4 5 6) → 60 

Exceptional Situations:

Should signal type-error if any argument is not an integer .

See Also:

gcd

Expanded Reference: lcm

tip

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(lcm )