LISA is an upcoming ESA mission that will detect gravitational waves in spaceby interferometrically measuring the separation between free-falling testmasses at picometer precision. To reach the desired performance, LISA willemploy the noise reduction technique time-delay interferometry (TDI), in whichmultiple raw interferometric readouts are time shifted and combined into thefinal scientific observables. Evaluating the performance in terms of these TDIvariables requires careful tracking of how different noise sources propagatethrough TDI, as noise correlations might affect the performance in unexpectedways. One example of such potentially correlated noise is the relativeintensity noise (RIN) of the six lasers aboard the three LISA satellites, whichwill couple into the interferometric phase measurements. In this article, wecalculate the expected RIN levels based on the current mission architecture andthe envisaged mitigation strategies. We find that strict requirements on thetechnical design reduce the effect from approximately 8.7 pm/rtHz perinter-spacecraft interferometer to that of a much lower sub-1 pm/rtHz noise,with typical characteristics of an uncorrelated readout noise after TDI. Ourinvestigations underline the importance of sufficient balanced detection of theinterferometric measurements.<br
