[tex] 10x^{5} v^{8}= 1*2*5*x*x*x*x*x*v*v*v*v*v*v*v*v \\ 25 x^{4} v^{7} u^{2}=1*5*5*x*x*x*x*v*v*v*v*v*v*v*u*u \\ [/tex]
Underline all the numbers which are common in both the factorisations. Write them down:
[tex]5 x^{4} v^{7} [/tex]
There, you have your LCM of both the expressions.
