Multistrand metal cord (C-1) having two layers (Ci, Ce) of J+K construction, which can especially be used for reinforcing tires for industrial vehicles, consisting of a core comprising J strands forming an inner layer (Ci), J varying from 1 to 4, around which core are wound, in a helix, with a helix pitch PK of between 20 and 70 mm, K outer strands forming an outer layer (Ce) around said inner layer (Ci), each outer strand: comprising a cord (10) having two layers (C1, C2) of L+M construction, rubberized in situ, comprising an inner layer (C1) comprised of L wires (11) of diameter d1, L varying from 1 to 4, and an outer layer (C2) of M wires (12), M being equal to or greater than 5, of diameter d2, which are wound together in a helix with a pitch p2 around the inner layer (C1); and having the following characteristics (d1, d2 and p2 being expressed in mm): 0.10