12.2.34 lcm [Function]

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