Lattice Path Matroids are 3-Colorable

We show that every lattice path matroid of rank at least two has a quite simple coline, also known as a positive coline. Therefore every orientation of a lattice path matroid is 3-colorable with respect to the chromatic number of oriented matroids introduced by J. Ne\v{s}et\v{r}il, R. Nickel, and W. Hochst"attler.