Lactose intolerance is often confused with milk allergies. Lactose intolerance is not an allergic reaction to dairy foods. Rather it is the inability to digest the milk sugar lactose. Lactose-free milk and yoghurt are good alternatives to drinking milk for people that are lactose intolerant. Aged cheeses such as Cheddar and Swiss are also low in lactose. Many people with lactose intolerance can drink up to 1 glass of milk daily without problems.