Cognomen Reim (Rime 
, Reim 
, Riem ) , in the world, is a common last name. The cognomen Reim is habitual in Switzerland, where it is quite a common surname, Estonia, where it is quite a rare surname, and Morocco. Not in comparison with a country's population, it is the most numerous in Germany, Morocco, and India. Likewise, Reim is the forename as well as the last name.
| VARIANT | COUNTRY |
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| Rime | Morocco, Algeria, United States, India, Bangladesh |
| Reim | Germany, Morocco, Switzerland, Finland, United States |
| Riem | Germany, Morocco, Algeria, Switzerland, United States |
| Рейм | Kazakhstan, Russia, Ukraine |
| johann christian benjamin reim (b. 1748) |
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| johann vinzenz reim Austrian architect and engraver (1796-1858), AT (b. 1796) |
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| tõnu reim Estonian gardener, EE (b. 1853) |
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| edmund reim Austrian composer (1859-1928), AT (b. 1859) |
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| eric reim German cyclist, DE (b. 1900) |
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dagmar reim German journalist, DE (b. 1951) |
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| egon reim (b. 1894) |
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matthias reim German singer, DE (b. 1957) |
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| einar reim (b. 1897) |
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| paul reim (b. 1901) |
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| inga reim (b. 1904) |
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regina reim German painter, DE (b. 1965) |
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| josef reim (b. 1906) |
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katja reim German journalist, DE (b. 1974) |
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| siggi reim (b. 1928) |
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