If you want to prescribe, the best route is medical school. You'll receive the most training and you'll have the most flexibility. If you do not want to go that route, some people pursue an NP because they have autonomy in a number of states and it tends to be a shorter path.
PA training can be excellent, though you will always need supervision/consultation with a physician. One isn't necessarily better than the other, though the laws are more in the NP's favor.
Assuming you have the pre-req already....
Medical School
4 years schooling
4 years residency training (Psychiatry, IM, etc)
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8 years, most flexibility, most training
LPC + PA
2 years schooling
1-2 years to get licensed as an LPC
2 years of PA schooling (inclusive internship?)
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5-6 years to get licensed in both, req. supervision/consultation.
LPC + NP (utilizing a direct-entry NP program)
2 years schooling
1-2 years to get licensed as an LPC
1 year completing an accelerated rn/bsn
2 years completing the NP
1 year to get licensed as an NP
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7-8 years to get licensed as an LPC and NP, option of autonomy in certain states. req. supervision/consultation in others.
If you do not have the pre-req. requirements to apply to an MD/DO/NP/PA program, that will add at least 1.5 years to your path, and more likely 2 years.
Honestly though...if you want to prescribe, go to medical school, it will prepare you the best and pretty much guarantee you a solid 6-figure job with the possibility of making quite a bit of money.