The Lemoine cubic is the triangle cubic with trilinear equation 2(a^2 - b^2)(b^2 - c^2)(c^2 - a^2) a α b β c γ + sum_cyclic a^4(b^2 + c^2 - a^2) b β c γ(b β - c γ) = 0. It passes through Kimberling centers X_n for n = 3, 4, 32, 56, and 1147.