Detailed Instructions: Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
Q: Problem: if 2 ^ 5, 3 ^ 3, and 14 ^ 2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w ?
Options: a. 26, b. 39, c. 42, d. 65, e. 168
A:
e