Preheat Oven: Great oven to 356ºF (180ºC).
Prepare Pan: Grease a round 8-inch baking pan with butter and line with parchment paper. Note: For non-stick pans, line the base with parchment paper and grease just the sides with butter and dust with flour for smooth cake sides. Set aside.
Combine Dry Ingredients: In a medium mixing bowl, whisk together the flour, baking powder, and salt. Set aside.
Beat Butter and Sugar: In a separate large mixing bowl, add the softened butter, sugar, and lemon zest. Beat on medium-high speed for 2 minutes until pale and creamy. Scrape down the sides.
Incorporate Eggs: Add eggs one at a time, beating for 15 seconds after each addition. Scrape the sides of the bowl.
Mix in Wet Ingredients: Pour in the crushed pineapple, olive oil, lemon juice, and vanilla extract. Beat on low-medium speed for 10 seconds until combined.
Combine with Dry Ingredients: Add the dry flour mixture and beat on low-medium speed until incorporated. Avoid over-mixing. Fold in any excess flour around the sides of the bowl with a rubber spatula.
Transfer Batter: Pour the batter into the greased cake pan.
Bake: Bake for 40-45 minutes until a skewer inserted into the middle comes out clean or with a few moist crumbs. Remove from the oven and allow to cool in the pan for 15 minutes.
Cool: Transfer cake to a wire rack to cool completely before adding the frosting.