  Full residual finiteness growth of a finitely generated group $G$ measures
how efficiently word metric $n$-balls of $G$ inject into finite quotients of
$G$. We initiate a study of this growth over the class of nilpotent groups.
When the last term of the lower central series of $G$ has finite index in the
center of $G$ we show that the growth is precisely $n^b$, where $b$ is the
product of the nilpotency class and dimension of $G$. In the general case, we
give a method for finding an upper bound of the form $n^b$ where $b$ is a
natural number determined by what we call a terraced filtration of $G$.
Finally, we characterize nilpotent groups for which the word growth and full
residual finiteness growth coincide.
