Question

if two positive integers a and b can be expressed as a= x^4 y^3 and b= x^7 yz^4 x,y,z, being prime no., then find the lcm (a,b) and hcf (a,b)​

Answer 1

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The condition in the question say

$a = {x}^{4} {y}^{3} \\ so \\ a = x \times x \times x \times x \times y \times y \times y \\ also \\ b = x \times x \times x \times x \times x \times x \times x \times y \times z \times \\ z \times z \times z$

So

HCF=Common factor, least power

i.e. HCF(a,b)=x^4×y

Similarly

LCM=All factor, most power

i.e. LCM(a,b)=x^7y^3z^4

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Answer 2

Answer:

Here is your answer....