Laguerre-Gaussian light beams exhibit orbital angular momenta (OAM) associated with an azimuthal phase dependence, which creates a zero intensity field at a phase singularity in the center of the beam. The unique intensity pattern obtained by multiplexing two such beams of different OAM orders allows for optical confinement of ultracold atoms and particles at a given number of azimuthal locations defined by phase singularities. We propose a strategy for the generation of such structured light, also known as an optical ring lattice, with an on-chip microring laser. The number of singularities within the lattice, as well as the resonant frequency, is dependent on the geometry of the laser, and can be adjusted. Here we demonstrate the simulation results for a sixth order optical ring lattice with varying radial polarization.