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Short-period gas giant planets have been shown to be significantly rarer for host stars less massive than the Sun. We report the discovery of two transiting giant planets – TOI-2379 b and TOI-2384 b – with low-mass (early M) host stars. Both planets were detected using Transiting Exoplanet Survey Satellite photometry and for both the transit signal was validated using ground-based photometric facilities. We confirm the planetary nature of these companions and measure their masses using radial velocity observations. We find that TOI-2379 b has an orbital period of 5.469 d and a mass and radius of |$5.76\pm 0.20$|  M |$_{J}$| and |$1.046\pm 0.023$|  R |$_{J}$| and TOI-2384 b has an orbital period of 2.136 d and a mass and radius of |$1.966\pm 0.059$|  M |$_{J}$| and |$1.025\pm 0.021$|  R |$_{J}$|⁠. TOI-2379 b and TOI-2384 b have the highest and third highest planet-to-star mass ratios, respectively, out of all transiting exoplanets with a low-mass host star, placing them uniquely among the population of known exoplanets and making them highly important pieces of the puzzle for understanding the extremes of giant planet formation. [ABSTRACT FROM AUTHOR]