In our on-going effort to characterize M dwarfs, we have carried out multi-band photometry calibrations of metallicity for early and intermediate M dwarfs using Gaia EDR3, 2MASS and AllWISE. These catalogs, combined with a sample of 5435 M dwarfs with additional parameters determined by APOGEE high-resolution spectroscopy, allow us to study the effect of the chemical composition in color-color and color-magnitude diagrams. We train the calibrations using Bayesian statistics and Markov Chain Monte Carlo (MCMC) techniques and derive several photometric calibrations aplicable to M dwarfs with metallicities of -0.4 ≤ [Fe/H] ≤ +0.4, obtaining estimations reliable to 0.10 dex. Lastly, we compare our results with previous photometric studies of metallicity for an additional sample of FGK+M common-proper-motion systems, finding a great predictive performance.

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