The gamma ray binary LS I +61 degrees 303 has orbital period P-1 = 26.4960 +/- 0.0028 d. Radio outbursts occur with orbital periodicity and their peaks are modulated with a long term periodicity of 1667 +/- 8 d. We determined a new periodicity P-2 = 26.92 +/- 0.07d by timing analysis of 6.7 years of the GBI database at 2.2 and 8.3 GHz with the Lomb-Scargle and PDM methods. The beat frequency 1/v(1)-v(2) results to be equal to 1667 +/- 196d. Therefore, the long-term modulation could be a mode interaction feature resulting from the rather close periodicities P-1 and P-2.