For each positive integer n, define S(n) to be the smallest positive integer divisible by each of the positive integers 1,2,3,\dots,n. For example, S(5)=60. How many positive integers n with 1\le n\le100 have S(n)=S(n+4)?
Answer Choices
A. 9
B. 10
C. 11
D. 12
E. 13