Bring lactose free cream cheese, sour cream, and eggs to room temperature for at least 60 minutes before mixing.
Position oven racks in the center and lowest positions. Preheat oven to 160°C (325°F). Wrap the outside of a 9-inch springform pan tightly with 2-3 layers of heavy-duty aluminum foil to prevent water from seeping in.
Combine graham cracker crumbs and sugar in a medium bowl. Pour in melted lactose free butter and mix until every crumb is evenly coated. Press firmly into the bottom and 2cm up the sides of the foil-wrapped pan.
Bake crust for 10 minutes until lightly toasty. Remove and set aside on a wire rack to cool while preparing the filling.
In a large bowl, beat room temperature lactose free cream cheese on medium speed for 2 minutes until completely smooth. Scrape down the sides and bottom frequently.
Add granulated sugar and continue beating on medium speed for 1-2 minutes until light and creamy.
Add lactose free sour cream, vanilla extract, lemon juice, and cornstarch. Mix on low speed until fully combined, scraping down the bowl.
Add eggs one at a time, mixing on the lowest speed after each addition just until the yolk disappears. Stop immediately to avoid overmixing.
Pour the filling over the cooled crust and smooth the top with an offset spatula. Tap the pan gently on the counter 3-4 times to release air bubbles.
Place the foil-wrapped cheesecake pan into a large roasting pan. Carefully pour hot water into the roasting pan until it reaches about 2.5cm (1 inch) up the sides of the springform pan.
Bake for 55-65 minutes until the edges are set and the center still has a slight wobble when gently shaken.
Turn off the oven and crack the door open about 5cm (2 inches). Leave the cheesecake inside to cool slowly for 1 hour.
Remove the pan from the water bath and remove the foil. Run a thin knife around the edge of the cheesecake to loosen it from the sides. Let cool completely at room temperature for 1-2 hours.
Cover loosely with plastic wrap and refrigerate for a minimum of 4 hours, but ideally overnight (8-12 hours) for the best texture and flavor.
Release the springform latch and carefully remove the outer ring. Slice with a sharp knife, wiping the blade clean between each cut for perfect slices. Serve cold or at cool room temperature.