I believe the leakage current you are referring to ("safety" related) is the leakage current to Earth Ground. This is a safety/health concern because of the shock hazard. Depending on the input EMI filter configuration, you can end up with more leakage current to Ground than is permitted, especially for medical devices.
The no-output-load input power consumption will sometimes be specified for a power supply. It certainly is for power supply components, like linear voltage regulators, for example. If you need to measure it, get an AC current clamp from the electronics store (about $50) that you plug into your DVM. Then separate the Hot/Neutral wires in the supply cord somehow (carefully), and clamp the measuring device over either wire.