Question 1134145


 {{{x ^2* y^2}}},{{{ x^5 *y^5}}}, {{{x^3 *y^3}}}

factor each term:

{{{x ^2* y^2=x*x*y*y}}}
{{{ x^5 *y^5=x*x*x*x*x*y*y*y*y*y}}}
{{{x^3 *y^3=x*x*x*x*y*y*y}}}

{{{x}}}: {{{5}}} occurrences 
{{{y}}}: {{{5}}} occurrences

so,
LCM is {{{ x*x*x*x*x*y*y*y*y*y}}}

{{{LCM=x^5* y^5}}}

since the LCM is the smallest integer that is evenly divisible by all given terms, you can check it this way:

{{{ (x^5 *y^5)/(x ^2* y^2)=x^(5-2)*y^(5-2)=x^3*y^3}}}

{{{ (x^5 *y^5)/(x ^3* y^3)=x^(5-3)*y^(5-3)=x^2*y^2}}}