The half-lives of 135 La and 132 La were determined via serial gamma spectroscopy, and the half-life of 135 La was further determined by a high-precision ionization-chamber measurement. The results are 18.91(2) hr for 135 La and 4.59(4) hr for 132 La compared with the previously compiled values of 19.5(2) hr and 4.8(2) hr, respectively. These lanthanum isotopes comprise a medically interesting system with positron emitter 132 La and Auger-electron emitter 135 La forming a theranostic pair for internal diagnostics and therapeutics. The precise half-lives are necessary for proper evaluation of their value in medicine and for a more representative tabulation of nuclear data.