The Persian lime (Citrus × latifolia) is the most common and what you're most likely to find for sale in the grocery store.

Key limes are actually different in terms of flavor profile, size, and use in the kitchen from the Persian lime, which is the variety that is typically found in grocery stores and supermarkets.

Currently the Puunene facility is packing limes and lemons only. A box of Persian limes is automatically whisked along a conveyor belt on its way to being sealed to ship. — The Maui News ...

Saffron gives this fish a golden color and sweet floral flavor, while dried limes, a popular Persian souring ingredient, add a slight kick of citrus along with earthy, fermented flavor.