The potential of high-intensity lasers to influence nuclear decay processes has attracted considerable interest. This study quantitatively evaluated the effects of high-intensity lasers on \(\alpha\) decay and cluster radioactivity. Our calculations revealed that, among the parent nuclei investigated, \(^{144}\text {Nd}\) is the most susceptible to laser-induced alterations, primarily because of its relatively low decay energy. Additionally, circularly polarized lasers exhibit a greater impact on decay modifications than linearly polarized lasers. Given the limited time resolution of current detectors, it is essential to account for the time-averaging effect of the laser. By incorporating the effects of circular polarization, time averaging, and angular averaging, our theoretical predictions indicated that the modification of \(^{144}\text {Nd}\) decay could reach 0.1% at an intensity of \(10^{27}\,\text {W/cm}^{2}\) . However, this intensity significantly exceeds the current laser capability of \(10^{23}\,\text {W/cm}^{2}\) , and the predicted modification of 0.1% remains below the detection threshold of contemporary measurement techniques. Observing laser-assisted \(\alpha\) decay and \(^{14}\text {C}\) cluster radioactivity will likely remain unfeasible until both ultrahigh laser intensities and significant advancements in experimental resolution are achieved.