Cherenkov light lateral distribution function approximation that describes an individual extensive air shower was found. It is designed for showers from various primary nuclei in the 1-100 PeV energy range with zenith angles up to 20 • and distances from the shower axis of up to 500 meters. Approximation accuracy is better than 10%. Initially, the approximation was intended for processing events of the SPHERE-2 experiment, but it can also be applied to any other experiment that uses the Cherenkov light lateral distribution function at the ground level. A comparison was made with simpler approximating functions used in the SPHERE-2 processing and in the TAIGA experiment. *** 27th European Cosmic Ray Symposium -ECRS *** *** 25-29 July 2022 *** *** Nijmegen, the Netherlands *** * Speaker