Family name Глеим (Gleim 
, Глеим 
) , around the globe, is quite a rare last name. The last name Глеим is characteristic of Western Europe, particularly Liechtenstein, where it is quite a common surname, Germany, where it is quite a rare surname, and Switzerland, where it is a rare surname. Not in comparison with a country's population, this name is the most popular in Germany, the United States, and Switzerland.
| VARIANT | COUNTRY |
|---|---|
| Gleim | Germany, Switzerland, United States, Argentina, France |
| Глеим | Russia |