The rheological and processing behavior (melt fracture performance) of linear low-density polyethylenes (LLDPEs) is studied as a function of both the weight average molecular weight (M-w) and its distribution (MWD). A number of LLDPE resins having different molecular characteristics were tested, with essentially one characteristic (M-w or MWD) changing at a time. The first series of resins consisted of nine samples having a wide range of polydispersities (3.3-12.7) and nearly constant M-w and short chain branching. The second series had six resins with varying M-w (51,000-110,000) but fixed MWD (about 4). The influence of M-w and MWD on the viscosity profiles, linear viscoelastic moduli as expressed by means of a discrete spectrum of relaxation times, extrudate swell, and melt fracture behavior for these resins is reported. Correlations between the molecular characteristics of the resins and their rheological and processing behavior are also reported. It is found that for a given molecular weight, the optimum melt fracture performance is obtained at a specific polydispersity value, and it is characterized by a minimum relaxation time for the resin defined in terms of recoverable shear.