  In this paper we fully solve the Morita equivalence problem for symplectic
reflection algebras associated to direct products of finite subgroups of
$SL_2(\mathbb{C})$. Namely, given a pair of such symplectic reflection algebras
$H_c, H_{c'}$,then $H_c$ is Morita equivalent to $H_c'$ if and only if they are
related by a standard Morita equivalence. We also establish new cases for
Morita classification problem for type A rational Cherednik algebras. Our
approach crucially relies on the reduction modulo large primes.
