Did losing weight help with your PCOS?

And when I say PCOS, I just mean the actual poly cysts present in the ovary, not the symptoms alongside pcos.

I'm 29 years old, 5"2 and 170 lbs. I have a lot of baby weight to lose since I had both of my sons back to back. My youngest is 14 months. I don't have any symptoms of PCOS except the appearance of my ovaries. I keep growing these painful cysts and I recently had a laporatomy to remove an ovarian cyst that had ruptured.

I know I need to lose weight, but will it help the poly cysts? Or should I get rid of my hormonal implant and get the copper IUD instead?