If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 123, what is the least possible value of n?  Choose the correct choice from the following answers:
A) 37
B) 123
C) 41
D) 52
E) 87
123 is 3 * 41, so n needs to be at least 41, so the answer is 41.
<result>C</result>
If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 123, what is the least possible value of n?