The Lenstra-Lenstra-Lovász (LLL) algorithm is a polynomial-time algorithm used in computational number theory and lattice basis reduction. It efficiently finds a shorter and more orthogonal basis for a lattice, which is a discrete set of points in multidimensional space. This has applications in areas such as cryptography, integer programming, and coding theory. The LLL algorithm works by iteratively adjusting the basis vectors of a lattice to improve their lengths and angles. It is named after its creators, Arjen Lenstra, Hendrik Lenstra, and László Lovász, who introduced the algorithm in 1982. The LLL algorithm is significant for its practical efficiency and theoretical implications in various mathematical fields.