WHAT PRINTER HAS THE LEAST EXPENSIVE INK CARTRIDGES?

Unfortunately, that will not tell you much. You probably want to know which is the least expensive per page, right? Some cartridges are less expensive because they have less ink, so a printer with a $15 cartridge might cost you more than one with twice the ink at $20.
 
Lexmark printer cartridges is the cheapest printer cartridges but buying a printer with cheap printer cartridges is affordable but once the ink has over then the cost to refill it will cost more than buying a printer, so purchasing a printer at high-quality is best to avoid expenditure which can also be re-filled.