In a mixing bowl, add mayonnaise, minced garlic, lemon juice, cayenne pepper, salt, and black pepper. Whisk together until smooth and creamy, about 1-2 minutes.

Continue whisking for an additional minute until the aioli is velvety and holds peaks.

Cover with plastic wrap or transfer to an airtight container. Refrigerate for at least 30 minutes.

After chilling, stir the aioli before serving. Use it as a spread on sandwiches or as a dip.