  We study single leptoquark production in $e^+e^-$, $e\gamma$, and
$\mu^+\mu^-$ collisions due to the quark content of the photon. Leptoquarks can
be produced in substantial numbers for masses very close to the centre of mass
energy of the collider which results in equivalently high discovery limits.
Using polarization asymmetries in an $e\gamma$ collider the ten different types
of leptoquarks listed by Buchm\"uller, R\"uckl and Wyler can be distinquished
from one another for leptoquark masses essentially up to the kinematic limit.
Thus, if a leptoquark were discovered an $e\gamma$ collider could play a
crucial role in determining its origins.
