For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 3,675, what is the least possible value of k?
Choose the correct answer
A) 12
B) 14
C) 15
D) 21
E) 25
We basically need 5,5,3,7 and 7 in the number.   14!, has 3, 5, 7, 10, 14   now 10 = 2 x5   14 = 2x 7   cross check:   K! = 3675 * M (M is a positive integer)   K! = 3 * 5 * 5 * 7 * 7   14! has all the numbers above.. therefore 14..!   ANSWER:14
<result>B</result>
For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 3,675, what is the least possible value of k?