HCF and LCM Polynomials

To obtain the HCF of algebraic expression, take the common of all the prime factors of two polynomials. To obtain the LCM of algebraic expression, take the product of all its prime factors.

Relation Between HCF and LCM of Polynomials

The Relation Between HCF and LCM of Polynomials is Product of Two Polynomials is equal to Product of their HCF and LCM.
HCF
and
LCM  and

LCM and HCF of Polynomials

FInd HCF and LCM of and
Factorise:  


Factories: 


So HCF
LCM

HCF of polynomials

Let , and , find HCF 
Solution: Factorise all:
  =
=
=
Observe HCF of , . hence HCF of 
is

LCM of polynomials

Find the L.C.M. of   and .
Solution:
Factorizing by taking the common factor we get, 

Now by using the identity .

=
Also, factorizing by taking the common factor we get, 




Therefore, the L.C.M. of and is .