If both 5^2 and 3^3 are factors of n x (2^5) x (12^2) x (7^3) x (10), what is the smallest possible positive value of n? Answers
A) 15  B) 45  C) 75  D) 125  E) 150
(2^5) x (12^2) x (7^3) x (10) has two appearances of 3 (in 12^2) and one appearance of 5 (in the 10).   Thus n must include at least   3 * 5= 
<gadget id="calculator">  3 * 5</gadget>
<output>15</output>
15   The answer is 15.
<result>A</result>
If both 5^2 and 3^3 are factors of n x (2^5) x (12^2) x (7^3) x (10), what is the smallest possible positive value of n?