  The construction of unextendible maximally entangled bases is tightly related
to quantum information processing like local state discrimination. We put
forward two constructions of UMEBs in $\mathbb {C}^{pd}\otimes \mathbb
{C}^{qd}$($p\leq q$) based on the constructions of UMEBs in $\mathbb
{C}^{d}\otimes \mathbb {C}^{d}$ and in $\mathbb {C}^{p}\otimes \mathbb
{C}^{q}$, which generalizes the results in [Phys. Rev. A. 94, 052302 (2016)] by
two approaches. Two different 48-member UMEBs in $\mathbb {C}^{6}\otimes
\mathbb {C}^{9}$ have been constructed in detail.
