Sweep limestone to clean off dirt, leaves and other debris. Start in the middle and work your way outward or form piles in small sections to easily sweep or pick them up to dispose of later. You can also use a leaf blower to clean outdoor limestone.
Wash limestone clean with your hose. You can also use a pressure washer, but start on the lowest setting and stand several feet back before increasing the power or moving closer, especially on limestone that is already damaged.
Spread kitty litter over oil stains, if applicable. You can also use hot soapy water, using a dish detergent labeled to cut grease. Scrub gently with a nylon brush and rinse away.
Clean stains with a cleaner labeled safe for use on limestone or mix some cooking flour with hydrogen peroxide to form a paste. Gently rub the homemade cleanser onto stains to clean. Rinse.