Function lcm

Syntax:

Arguments and Values:

integer—an integer.

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

Description:

12.4.0 24lcm returns the least common multiple of the integers.

12.4.0 27 \funref{lcm} requires at least one argument.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

12.4.0 25For 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

Side Effects:

None.

Affected By:

None.

Exceptional Situations:

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

See Also:

gcd

Notes:

None.