LCM

LCM

least common multiple

Syntax


LCM(F_1:INT,...,F_n:INT):INT
LCM(L:LIST of INT):INT

LCM(F_1:POLY,...,F_n:POLY):POLY
LCM(L:LIST of POLY):POLY

Description

This function returns the least common multiple of F_1,...,F_n or of the elements in the list L. For the calculation of the GCDs and LCMs of polynomials, the coefficient ring must be a field.

Example

  Use R ::= QQ[x,y];
  F := x^2-y^2;
  G := (x+y)^3;
  LCM(F, G);
1/4x^4 + 1/2x^3y - 1/2xy^3 - 1/4y^4
-------------------------------
  4 * It = G * (x-y);
TRUE
-------------------------------
  LCM(3*4,3*8,6*16);
96
-------------------------------
  LCM([3*4,3*8,6*16]);
96
-------------------------------

See Also