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Function LCM

Syntax

  • lcm &rest integersleast-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

Side Effects

None.

Affected By

None.

Exceptional Situations

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

See Also

Notes

None.

\issue{LCM-NO-ARGUMENTS:1}