Most LC's in my area are also RN's. Is it required? No. Will it make finding work easier? Yes. Becoming an LC involves coursework and lost of clinical hours. There are several pathways to do this, however.
I suggest you look at starting with becoming a lactation educator. Unless you have a degree I. The health field, this certification helps speed the process. It cost me $650 (I think) and included 40 hours class time and clinical work.
BFing, CDing, all natural mama to three boys! Certified lactation Counselor