  We point out critical deficiencies in lattice-based cryptanalysis of common
prime RSA presented in ``Remarks on the cryptanalysis of common prime RSA for
IoT constrained low power devices'' [Information Sciences, 538 (2020) 54--68].
To rectify these flaws, we carefully scrutinize the relevant parameters
involved in the analysis during solving a specific trivariate integer
polynomial equation. Additionally, we offer a synthesized attack illustration
of small private key attacks on common prime RSA.
