If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is = Choose the correct choice from the following choices:
A) 1155 B) 2310 C) 4620 D) 30030 E) 60060
The integer should be divisible by: 10, 11, 12, 13, 14 and 15, that is 5*2, 11, 3*2^2, 13, 2*7, and 3*5. The least common multiple of these integers is the product of 13, 11, 7, 5, 3 and 2^2. Then, R/26 is (13 * 11 * 7 * 5 * 3 * 2^2)/2 * 13 = 11*7*5*3*2= 
<gadget id="calculator">11*7*5*3*2</gadget>
<output>2_310</output>
2310.   Answer: 2310.
<result>B</result>
If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is =