Final answer:
Prilocaine and benzocaine are local anesthetics that can lead to methemoglobinemia.
Step-by-step explanation:
Methemoglobinemia is a condition where the iron in hemoglobin is oxidized to the ferric (Fe³+) form, which impairs the ability of hemoglobin to bind oxygen. Certain drugs can increase the levels of methemoglobin, including nitrites, hydroxylamines, acetanilide, and sulfonamides. In the case of local anesthetics, prilocaine and benzocaine have been associated with an increased risk of methemoglobinemia.