Question

how do you find the least common multiple of these two expressions. 10x^5v^8  and 25x^4v^7u^2

Answer 1

`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 \\`
Underline all the numbers which are common in both the factorisations. Write them down:

`5 x^(4) v^(7)`
There, you have your LCM of both the expressions.

Answer 2

`10x^5v^8=5x^4v^7\cdot2xv\\\\25x^4v^7u^2=5x^4v^7\cdot5u^2\\\\LCM(10x^5v^8;\ 25x^4v^7u^2)=5x^4v^7\cdot2xv\cdot5u^2=50x^5v^8u^2`