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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.

Modern Formulation

see least common multiple.

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2

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References

Adapted from (subject to copyright, with kind permission)

1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"

Adapted from CC BY-SA 3.0 Sources:

1. Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016