Because I am getting land surface temperature in the range of 48-to-60-degree Celsius in Manson June 7th where my air temperature maximum is 37degree Celsius. Even i crossed checked with MODIS Daily LST it is showing 41 range data.
From where did you download the data? What kind of preprocessing steps you made to them? Which software are you using?
The way your question it's currently written it's difficult for others to help you. Please consider adding more information so others can see the steps you followed in order to reproduce the "error" in LST images.
Currently, I am using "LANDSAT/LC09/C02/T1_L2" Landsat 9 Surface Reflectance Level 2 data in which it provides ST_B10 Band 10 surface temperature. I am in confusion that surface temperature is land surface or not. Because I am irrigation command area which is having Vegetation.