The single malt Scotch whisky distillery on Islay that produces Laphroaig is Laphroaig distillery.
Laphroaig stands on Islay’s southern coast, near Port Ellen, beside a small bay called Loch Laphroaig. The distillery was founded in 1815 and is famous for intensely smoky, medicinal flavors created partly by drying malted barley over peat fires. Its nearby Islay neighbors include Lagavulin and Ardbeg, which is why these names are common quiz distractions.
The question uses “Laphroaig” for both the distillery and its whisky brand. That is acceptable in ordinary quiz usage, although the precise institutional name is Laphroaig distillery. The brand’s best-known expression is the 10-year-old single malt, while other releases include Quarter Cask and age-stated bottlings.
Laphroaig is not a blended Scotch: “single malt” means whisky made at one distillery from malted barley, though it can combine whisky from many casks. Its distinctive peat smoke is the signature that sets it apart from lighter Scotch styles.