Proposition: 7.34: Existence of Least Common Multiple
(Proposition 34 from Book 7 of Euclid's “Elements”)
To find the least number which two given numbers (both) measure.
* Let $A$ and $B$ be the two given numbers.
* So it is required to find the least number which they (both) measure.
see least common multiple.
Table of Contents
Proofs: 1 2
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BY-SA 3.0 Sources:
- Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016