The LCM of two prime numbers p and q is 2231, where p \gt q. What is the value of p-q?

  1. A. 67
  2. B. 70
  3. C. 74
  4. D. 81

Correct Answer: C. 74

Explanation

The LCM of two prime numbers is their product, so p \times q = 2231. Factoring 2231 gives 97 \times 23. Since p \gt q, p = 97 and q = 23. Therefore, p - q = 97 - 23 = 74.

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