Definition: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
Input: Question: If the LCM of two integers c, d (where d> c and c>1) is c*d, then which of the following can not be true?

Option A: Both c and d can be consecutive integers.

Option B: Both c and d can be Prime Numbers.

Option C: All Prime factors of c must be Prime factors of d.

Option D: c and d do not have a common factor.

Option E: c and d do not share any Prime factors.
Output:
Option C