In this thesis work titled "Comparison of the LLG and MRSh Equations Used in Magnetic Nanoparticle Hyperthermia" we have described how Hyperthermia works and what is the relation of this cancer/tumor treatment to physics. Usually, Hyperthermia is done by making use of Magnetic Nanoparticles which accumulate at the point of treatment, and by applying a Magnetic field we increase the temperature locally and destroy the tumor. It has been shown that the best combination of fields when this treatment is considered together with the physics inside, is the oscillating magnetic field combined with perpendicular magnetic field. As for the magnetic nanoparticles, we can approach them through two equations which are named the LLG Equation and MRSh Equation. The equations correspond to the Neel relaxation and Brownian relaxation process, respectively. We have shown that both equations can produce very similar results. Actually, by having in our hands the results produced with MRSH, we were able to reproduce very similar figures of (dynamic) hysteresis loops by LLG equation with the usage of Wolfram Mathematica. Finally, we have shown that we get the same results qualitatively, but of course, with different parameters as the equations are different from each other, and this way they are different quantitatively. In addition, we could confirm that the previous research that showed the combination of oscillating and perpendicular static fields is indeed true when it comes to superlocalization and heat efficiency.