What points on a longitudinal wave have the greatest kinetic energy?

Point of maximum compression as this is where most of the molecules lie within the wavelength. So the mass there would be M and at the rarefaction point m < M. But both masses are going the same speed on average, the speed of the wave V. So we have ke = 1/2 mV^2 < 1/2 MV^2 = KE or ke < KE showing the kinetic energy where M > m is the greater than where the wave has m mass (rarefaction).