What is the smallest integer that, when increased by seven, is divisible by 14, 25, 36, and 81?
Choose the correct choice from the following answers.
A) 1020600	B) 1020593	C) 56693	D) 28343	E) 18900
14 = 2 * 7   25 = 5 * 5   36 = 2 * 2 * 3 * 3   81 = 3 * 3 * 3 * 3   So our answer is   (2 * 2 * 3 * 3 * 3 * 3 * 5 * 5 * 7) - 7= 
<gadget id="calculator">  (2 * 2 * 3 * 3 * 3 * 3 * 5 * 5 * 7) - 7</gadget>
<output>56_693</output>
56693, which is option 56693.
<result>C</result>
What is the smallest integer that, when increased by seven, is divisible by 14, 25, 36, and 81?