Search information in a db interval

Good night,

I have a problem with excel that I can not solve.

I have a database (Columns K, L and M) and with it I need to fill my column C, as follow image:

Sem_título.jpg

I need a sort of VLOOKUP that looks for the range of column A and B in the range of column K and L to give me the value of M.
In other words the range, for example from 0 to 31,254, is within which range of column K and L? In gives me type A.

I can do a lot of "ifs" but the database is much larger than that of the image. I need a way to do this with some function.

Does anyone know how to help me?

Thank you