Do you have Rheology? if yes, you can do the frequency sweep measurement on the Parallel Plate Rheometer where you will get the viscoelastic response of your polymer melt thereby zero shear viscosity, crossover modulus and Polydispersity index. The zero shear viscosity is directly proportional to the molecular weight of the polymer. From the value of zero shear viscosity, using the appropriate model, you can be able to determine the molecular weight of the polymer. I hope this helps!!
if you have one of the Zetasizer nano series instrument, then you can measure the molecular weight of your polymer easily by dispersing them in some solution. This instrument uses the principle of static light scattering.
Dynamic light scattering provides only a valuse based on the Z average translational diffusion coefficient. The results can be quite misinforming in all but the simplest cases.