The application of electromagnetic levitation in an additive manufacturing process, enables the fabrication of complex shapes with an added level of ease in ideal scenarios. This paper identifies strategies to compute inductance in a custom electromagnetic levitation setup, through an analytical approach. Inductance plays a significant role in electromagnetic system analyses as it adds to the net impedance in the system, with an amplified effect at higher frequencies. This system operates within a range of 60Hz – 1000 Hz leading to very high impedance values, potentially reduced by optimizing the system for the least inductance. Theoretical formulas are used to compute inductance for a multi-coil multi-core system and compared with data from ANSYS Maxwell. The computation is further inspected through magnetic superposition to create an equivalent single-coil single-core system. ANSYS Maxwell is used for computing the RMS magnetic field over a vertical polyline, coaxial with the system coils. This is important since a greater value of the magnetic field is equivalent to greater levitation forces. Coil dimensions are optimized for the maximum magnetic field and the least inductance.