If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of 4m + n?
Pick
A) 11	B) 18	C) 55	D) 25	E) 33
k^4=5400∗mn   k^4=3^3.2^3.5^2.mn   In order to make RHS a perfect power of 4, we require it to be multiplied by 3, 2 &amp; 5^2   mn=3.2.5^2   mn = 150 = 10 * 15 (Least possible)   Answer = 4*10 + 15= 
<gadget id="calculator">4*10 + 15</gadget>
<output>55</output>
55   ANSWER:55
<result>C</result>
If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of 4m + n?