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 answers:
A) 1155 B) 2310 C) 4620 D) 30030 E) 60060

Rationale: the integer should be divisible by : 10 , 11 , 12 , 13 , 14 and 15 , that is 5 * 211 , 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 = 2310 . answer : b .
Answer: B