Elected as successor to Brutus, but died within a few days (Liv. 2.8.4-5, who notes that he was not named as Consul in early authors;{3} Dion. Hal. 5.19.2; Plut. Popl. 12.3; Eutrop. 1.10.2; Auct. Vir. Ill. 15.2; Cassiod.; cf. Cic. Rep. 2.55; Val. Max. 4.1.1). See Degrassi 88, 348f. (Broughton MRR I)
To provide a constitutional bridge from the monarchy to the republic, one tradition assigns Lucretius the role of Interrex, named by Brutus as Tribunus Celerum (Dion. Hal. 4.76.1, and 84.5). See Praefectus Urbi. (Broughton MRR I)
Similarly, in another tradition it is supposed that Lucretius had been appointed Praef. Urb. by the king, and as such held the consular election (Liv. 1.59.12, and 60.4; Tac. Ann. 6.11). See Interrex. (Broughton MRR I)