+118609 $$\\LCM \;of\;\;2\times3^2\times5^4\times7 \;\;and \;\;750\\\\
Well\; 750=3*250=3*2*5*5*5=2\times 3 \times 5^3$$
Lets look at these two
$$\\2 \times 3 \times 5^3\qquad \times \qquad 3\times 5\times 7\quad=\quad 2\times 3^2 \times 5^4\times 7\\\\
750\qquad \qquad \quad \times \qquad 3\times 5\times 7\quad=\quad 2\times 3^2 \times 5^4\times 7\\\\$$
$$\\So\;\;750 $ is a factor of the $ 2\times 3^2 \times 5^4\times 7\\\\
$ So the lowest common multiple of these two is 2\times 3^2 \times 5^4\times 7$$
+118609 $$\\LCM \;of\;\;2\times3^2\times5^4\times7 \;\;and \;\;750\\\\
Well\; 750=3*250=3*2*5*5*5=2\times 3 \times 5^3$$
Lets look at these two
$$\\2 \times 3 \times 5^3\qquad \times \qquad 3\times 5\times 7\quad=\quad 2\times 3^2 \times 5^4\times 7\\\\
750\qquad \qquad \quad \times \qquad 3\times 5\times 7\quad=\quad 2\times 3^2 \times 5^4\times 7\\\\$$
$$\\So\;\;750 $ is a factor of the $ 2\times 3^2 \times 5^4\times 7\\\\
$ So the lowest common multiple of these two is 2\times 3^2 \times 5^4\times 7$$
