  In this paper, we prove the following identity $$ \lcm({n\brack 0}_q,{n\brack
1}_q,...,{n\brack n}_q) =\frac{\lcm([1]_q,[2]_q,...,[n+1]_q)}{[n+1]_q}, $$
where ${n\brack k}_q$ denotes the $q$-binomial coefficient and
$[n]_q=\frac{1-q^n}{1-q}$. This result is a $q$-analogue of an identity of
Farhi [Amer. Math. Monthly, November (2009)].
