A month and a half ago, I crashed on my bike, fell front first and my left wrist broke my fall. So far, I don't see any obvious bone deformation but I'm not sure. It has definitely healed since the incident as a week after it had happened, I was able to move my wrist with a lot of pain, now I can move almost 360 degrees without pain, there's just one side where it hurts when it is moved towards the side. My question is, can anyone tell me whether it's a dislocation of a sprain? Also, how long does a sprained wrist take to heal fully(without pain).
No, I cannot tell you the answer, it needs and X-ray and you need a Doctor.
In all honesty every person is different. To be honest you would probably get more information in the Accident and Injury section of the Bones forums. Try that honey.
Highly unlikely it is dislocated if it is improving as you say. You need an xray to see what the damage is as there could be a small break. If it is a sprain some physiotherapy always helps, that will improve the mobility. How long it takes to improve really depends on the original damage. I sprained my ankle once and it took two years to be totally back to normal! I am sure that wrists would normally take less time as they are not load bearing.