Sodium lauroyl lactylate is an emulsifier, which means it helps oil and water mix together in a formula. Without it, your moisturizer or cleanser would separate into layers. It's made from lauric acid (a fatty acid) and lactic acid, so it has a natural origin, though the ingredient itself is processed. It's mild enough for most skin types and shows up in everything from cleansers to creams. If you have very sensitive skin, it's worth patch testing first, but it's generally well tolerated.
Ingredient
Sodium Lauroyl Lactylate
Listed functions (EU CosIng): emulsifying
Products with Sodium Lauroyl Lactylate
7 active products. Cards link to a dupe page where one exists.

CeraVe
Hydrating Facial Cleanser
Cleanser · 354.9 ml

CeraVe
Foaming Facial Cleanser
Cleanser · 354.9 ml

CeraVe
Daily Moisturizing Lotion
Moisturizer · 354.9 ml

CeraVe
PM Facial Moisturizing Lotion
Moisturizer · 59.2 ml
CeraVe
Eye Repair Cream
Eye cream · 14.8 ml
CeraVe
Hydrating Mineral Sunscreen SPF 30 Face Lotion
Sunscreen · 70.9 g
CeraVe
Skin Renewing Vitamin C Serum
Serum · 29.6 ml
This is general information about ingredients and prices, not medical advice. Patch test new products and talk to a dermatologist about skin conditions.