Let’s Find the HCF and LCM of 2x^4y^3z and 32x^3y^4p^2 By the Prime Factorization Method. For finding out the HCF and LCM of 2x^4y^3z and 32x^3y^4p^2 we will do the factorization of these two polynomials.

Let’s do the factors of

2x^4y^3z = 2*X*X*X*X*Y*Y*Y*Z

32x^3y^4p^2 = 32*X*X*X*Y*Y*Y*Y*P*P

We have done the factors successfully.

Now we will see the HCF and LCM of 2x^4y^3z and 32x^3y^4p^2 By Prime Factorization Method

## HCF of 2x^4y^3z and 32x^3y^4p^2 is 2x^{3}y^{3}

HCF is the Highest Common Factor of these two given polynomials that can divide both polynomials completely.

So, We can see in

2x^4y^3z = 2*X*X*X*X*Y*Y*Y*Z

32x^3y^4p^2 = 32*X*X*X*Y*Y*Y*Y*P*P

common factors are 2*X*X*X*Y*Y*Y = 2x^{3}y^{3}.

Hence the HCF of 2x^4y^3z and 32x^3y^4p^2 is 2x^{3}y^{3}.

## LCM of 2x^4y^3z and 32x^3y^4p^2

LCM is the Least Common Multiple of the two given polynomials. We have factors of these two polynomials.

With the help of factors, we will find out the Least Common Multiple of the given polynomials.

Factors of 2x^4y^3z and 32x^3y^4p^2 are as follow:

2x^4y^3z = 2*X*X*X*X*Y*Y*Y*Z

32x^3y^4p^2 = 2*2*2*2*2*X*X*X*Y*Y*Y*Y*P*P

For finding out the least common multiple of the given polynomials we will take common factors once and all uncommon factors.

So, the least common multiple is 2*2*2*2*2*X*X*X*X*Y*Y*Y*Y*Z*P*P = 32X^{4}Y^{4}ZP^{2}

Hence the LCM of 2x^4y^3z and 32x^3y^4p^2 is 32X^{4}Y^{4}ZP^{2}

### Find the HCF and LCM of 2x^4y^3z and 32x^3y^4p^2 By Prime Factorization Method

The HCF and LCM of 2x^4y^3z and 32x^3y^4p^2 are 2x^{3}y^{3} and 32X^{4}Y^{4}ZP^{2} respectively By Prime Factorization Method.

## Find the HCF and LCM of 2x^4y^3z and 32x^3y^4p^2 By Prime Factorization Method Class Room

### Find the LCM of 2x^4y^3z and 32x^3y^4p^2

The LCM of 2x^4y^3z and 32x^3y^4p^2 is 32X^{4}Y^{4}ZP^{2}.

### Find the HCF of 2x^4y^3z and 32x^3y^4p^2

The HCF of 2x^4y^3z and 32x^3y^4p^2 is 2x^{3}y^{3}.

### Find the HCF and LCM of 2x^4y^3z and 32x^3y^4p^2

The HCF and LCM of 2x^4y^3z and 32x^3y^4p^2 are 2x^{3}y^{3} and 32X^{4}Y^{4}ZP^{2} respectively.

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