Especially for alloyed steels such as high carbon-high chromium steels containig high percentage of M7C3 dispersed at prior austenite grain boundaries.
It depends what you are trying achieve. Please take a look in https://www.researchgate.net/publication/257713217_Study_of_Carbide_Evolution_During_Thermo-Mechanical_Processing_of_AISI_D2_Tool_Steel, and you will see that carbides in steel can't be completely dissolved even at high austenitization temperature.
Article Study of Carbide Evolution During Thermo-Mechanical Processi...
It is a question concerning the thermodynamic stability of the carbide at the selected austenization temperatures. Suggest you get hold of a good thermodynamic database for tool steels to investigate the right conditions. Of course, kinetics might be slow so the higher temperatures would help. I think the primary hardening depends upon the carbon content in the austenite.
It is very difficult to dissolve the carbides in steel especially M7C3. I would agree with david intoto
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