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Based on CO(2-1) public data, we study the monoxide oxygen gas excitationconditions and the magnetic field strength of four spiral galaxies. For thegalaxy outskirts, we found kinetic temperatures in the range of$\lesssim$35--38 K, CO column densities $\lesssim 10^{15}$--$10^{16}$cm$^{-2}$, and H$_2$ masses $\lesssim 4\times 10^6$--$6\times10^8$ M$_\odot$.An H$_2$ density $\lesssim 10^3$ cm$^{-3}$ is suitable to explain the 2$\sigma$upper limits of the CO(2-1) line intensity. We constrain the magnetic fieldstrength for our sample of spiral galaxies and their outskirts by using theirmasses and H$_2$ densities to evaluate a simplified magneto-hydrodynamicequation. Our estimations provide values for the magnetic field strength on theorder of $\lesssim$6--31 {$\upmu$G}.

Upper Limits to Magnetic Fields in the Outskirts of Galaxies