What is the smallest integer X such that 2X+2 is divisible by 33, 44, 55, and 666?  Choose the correct option
A) X = 53186760  B) X = 26593379  C) X = 73260  D) X = 36629  E) X = 6666
33 = 3 * 11   44 = 2 * 2 * 11   55 = 5 * 11   666 = 2 * 3 * 3 * 37   So 2X+2 = 2 * 2 * 3 * 3 * 5 * 11 * 37= 
<gadget id="calculator">2 * 2 * 3 * 3 * 5 * 11 * 37</gadget>
<output>73_260</output>
73260, and X= (73260 - 2)/2= 
<gadget id="calculator">(73260 - 2)/2</gadget>
<output>36_629</output>
36629, which is option X= 36629.
<result>D</result>
What is the smallest integer X such that 2X+2 is divisible by 33, 44, 55, and 666?