That is not much information.
You need to eliminate some possibilities.
The first suspect would be the power switch which is a slide switch.
Do you find the power switch in the "on" or "off" position after the batteries are drained.
If you put tape over the switch when you finish using it, do the batteries drain.
Over what period of time does this occur?
Some types of batteries will discharge just sitting unused in the camera.
..Older NiMH batteries do this.
..Try using Alkaline batteries, as they don't drain just sitting unused in the camera.
What type of batteries are you using?
If the batteries are rechargeable, how old are the batteries.
..NiMH batteries tend to fail after a few years.
..Usually only one of the batteries will fail, but you need to replace the whole set.
..
Panasonic Lumix DMC-LZ1 keeps turning itself on and draining the batteries. Any ideas on whats wrong please?

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