A restaurant pays a seafood distributor d dollars for 6 pounds of Maine lobster. Each pound can make v vats of lobster bisque, and each vat makes b bowls of lobster bisque. If the cost of the lobster per bowl is an integer, and if v and b are different prime integers, then which of the following is the smallest possible value of d?
(A) 15
(B) 24
(C) 36
(D) 54
(E) 90

As I don't have an OA this is how I arrived at (C) i. e. 36 as an answer. Can someone please let me know whether I am correct or not?

Total cost of 6 pounds of Maine Lobster = d (1)
Total vats created = 6v(2)
Total bowls created = 6 bv (3)
Therefore cost of 6bv will be d dollars where b and v are two different prime numbers.

Prime factors of 36 are 23∗3223∗32 i. e. 6 *2 *3 = 36