Planck’s constant has the dimensions (unit) of

We define energy of a photon E =hf, here h is Planck’s constant and f is the frequencyh = Ef ⇒ h = Ef = ML2T−2T−1 = ML2T−1We define angular momentum as L = Iω⇒ L = Iω = ML2T−1 = ML2T−1Hence,  h = L = ML2T−1