Find LCM and HCF of $13x^2-12y^{2}and6x^2-8y^2$

Given ,

$(13x^2-12y^2),(6x^2-8y^2)$

$(13x^2-12y^2),2(3x^2-4y^2)$

Hence HCF is$=1$

And LCM is

$=(13x^2-12y^2)\times 2(3x^2-4y^2)$

$=2(13x^2-12y^2)(3x^2-4y^2)$