Methods and apparatus for processing substrates to improve polishing uniformity, improve planarization, remove residual material and minimize defect formation are provided. In one aspect, a method is provided for processing a substrate having a conductive material and a low dielectric constant material disposed thereon including polishing a substrate at a polishing pressures of about 2 psi or less and at platen rotational speeds of about 200 cps or greater. The polishing process may use an abrasive-containing polishing composition having up to about 1 wt. % of abrasives. The polishing process may be integrated into a multi-step polishing process.