Colorado: Department of Public Health and Environment, Colorado Medical Marijuana Registry

one of these documents gives new and renewals 12-14 weeks approximate.
The other document says that after 35 days with no response your application is deemed approved. However I'm not sure reading further down if that's just a given, mean they could for whatever reason (perhaps missing info on the form, wrong ink) send you a rejection letter down the road, passed the 35 days.

14 weeks , is almost 4 months.