imported post
KRS 237.110(7)
The sheriff shall transmit the application and accompanying material to the Department of State Police within five (5) working days.
KRS 237.110(9)
The Department of State Police shall, within ninety (90) days after the date of receipt of the items listed in subsection (8) of this section, either:
(a) Issue the license; or
(b) Deny the application based solely on the grounds that the application fails to qualify under the criteria listed in subsection (3) or (4) of this section. . . .
So, the answer to your question is 95 days (plus any allowance for transfer from the sheriff to the State Police). In actuality, they get this done as fast as humanly possible.