Same cabinet and same issue as Isaac and David - all three mirrors have fallen off due to the hardware disintegrating. There is no sticker or ID number anywhere to be found. Would love to be able to order replacements.
Here is a link to Medicine Cabinets with Mirrors on Home Depots web site. If you can find the same model as yours we may be able to get replacement parts.
You can find the products measurements if after selecting a particular product, you scroll down to specifications. Often contact information is listed under the instructions and assembly tab.
Below is an example of one that looks to be similar to David's photo and descriptions.
Unfortunately product selections change over a period of time and there is no guarantee that the same unit is still available.
Please let use know if we can be of further assistance.
In my experience replacement parts are simply not available, the vast majority of these mirrored medicine cabinets are manufactured in Asia and the manufacturers do not offer replacement parts.These cabinets are offered in numerous models and stocking replacement parts which would be seldom sold is to costly for the manufacturer.