I smoked weed for three years straight at least 2 grams a day (at least) most 4 grams. How long to get clean?

I quit cold turkey starting today (new years resolution) because in a few months I will be getting my degree in a health care profession and I am sure they wouldn't appreciate my habit. So do you think I will be clean in three months at least? I am 160 pounds 5'5. I understand that weed is fat soluble and I am also on a diet trying to lose about 15-20 pounds so I thought that might speed up the detox process? What do you think? Any advice or suggestions?