Colligative properties apply not only to solutes, like common salt, in water but also to mixtures of solid compounds. Therefore, an impurity, like 10% unreacted solid or competing product, in your synthesized compound will result in freezing (or melting) point depression. So impure solids have lower melting points.
Of course, like Borek said, if it's 90% impurity and 10% desired product, then you might end up with a melting point far away from product, even though the melting point will still be low for that impurities published value.