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PolynomialLCM
PolynomialLCM[
,
, ... ] gives the least common multiple of the polynomials  .
PolynomialLCM[
,
, ... ,
Modulus->
p
] evaluates the LCM modulo the prime p.
Example: PolynomialLCM[1 + x y, x + x^2 y] .
PolynomialLCM[
,
, ... ] will by default treat algebraic numbers that appear in the  as independent variables.
PolynomialLCM[
,
, ... ,
Extension->Automatic] extends the coefficient field to include algebraic numbers that appear in the  .
See the Mathematica book: Section 3.3.4.
See also: PolynomialGCD, LCM.
Further Examples
Here is the least common multiple of two polynomials.
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Out[1]= 
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