Welcome to the forum.
A limited care facility is defined in Article 517 as;
"A building or portion thereof used on a 24-hour basis for the housing of four or more persons who are incapable of self-preservation because of age; physical limitation due to accident or illness; or limitations such as mental retardation/developmental disability, mental illness, or chemical dependency."
So a limited care facility is a nursing home or mental care type of facility that houses persons on a 24-hour basis.
A hospital is defined as;
"A building or portion thereof used on a 24-hour basis for the medical, psychiatric, obstetrical, or surgical care of four or more patients."
A hospital does not "house" persons for the most part.
Hope this helps.
Chris