Large-eddy simulations (LES) of a circular supersonic fully expanded jet and an underexpanded jet are performed. Both jets operate at a design Mach number 1.95, and the corresponding fully expanded Mach number for the underexpanded jet is 2.20. Since the simulations do not include the nozzle geometry explicitly, the effects of the inflow conditions (such as the forcing modes and shear layer thickness) on the near field statistics and far field noise are investigated. The near field data are collected from the LES and then the far field noise is computed by the Ffowcs Williams-Hawkings (FWH) surface integral method. The results show that removing the lower forcing modes increases the centerline velocity decay rate, the peak turbulence intensities, and the overall sound pressure level. However, reducing the inflow shear layer thickness has the opposite effect and achieves a better agreement with the experiments in both near field statistics and farfield noise. Similar trends hold for the underexpanded jet in near field statistics; however, the number of shock cells is underpredicted and is insensitive to the inflow conditions. This may be due to contamination by spurious numerical fluctuations caused by the shocks. Further simulations including shock capturing schemes are needed.