I have a Brother printer. I found an app called Brother iPrint&Scan. I installed it, accepted the User Agreement, and succeeded in printing a Word file from my Android tablet.
Since you have a Lexmark printer, I searched Google Play Store and saw and app called Lexmark Print Service Plugin. Overall review rating was 3.5, which is not good. I would try it if I had a Lexmark printer. If I could not get it to work, I would uninstall it rather than leave it installed. No point in cluttering your device with apps that don't work.