The ultralight boson is a promising candidate for dark matter. These bosons may form long-lived bosonic clouds surrounding rotating black holes via superradiance, acting as sources of gravity and affecting the propagation of gravitational waves around the host black hole. If the mass ratio of a compact merger is sufficiently small, the bosonic cloud will survive the inspiral phase of a binary merger and can affect the quasinormal-mode frequencies of the perturbed black hole and bosonic cloud system. In this work, we compute the shift of gravitational QNMFs of a rotating black hole due to the presence of a surrounding bosonic cloud. We then perform a mock analysis on simulated LISA observational data containing injected ringdown signals from supermassive black holes with and without a bosonic cloud. We find that with less than an hour of observational data of the ringdown phase of nearby supermassive black holes such as Sagittarius A* and M32, we can rule out or confirm the existence of cloud-forming ultralight bosons of mass $ sim 10^{-17} rm eV$.
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