lcm

Last modified by Administrator on 2020/08/13 18:57

Least Common Multiple Notations

In arithmetic and number theory, The least common multiple of two numbers \(a\) and \(b\), variously denoted \(LCM(a,b)\).

Semantic

Observations of LCM

Dutch (Belgium)  

The notation on the right (for kleinste gemeen veelvoud) is found in Relaties en Structuren (page 48).
Download and preview the book.

 lcm-du-lc.png 

Arabic (Saudi Arabia)  

In Saudi Arabia and some other provinces we find the high-school math book represents the least common multiple in Arabic context. the example shows LCM for 8 and 9, م.م.أ means LCM. Go to the example at the end of page 79 in the high school math book from ministry of education in Saudi Arabia or find the math book for grade VII in our bibliography

lcm1-ar.png

English   

We find in the discrete math book the example represents the least common multiple in English context.
Go direcly to page 317.

 lcm1-en.png 

German   

The example on the right denotes the least common multiple in the German book Lineare Algebra, and it is called 'Kleinstes gemeinsames Vielfaches' in german context.
Go to the example in page 307.
Also you can find the same example in the German book Zahlentheorie und Arithmetik, p. 125

 lcm1-de.png  

Spanish  

The Spanish website for mathematics shows the least common multiple in Spanish context.  
We also find wikipedia shows another example in Spanish.  

 lcm1-sp.png lcm2-sp.png  

French   

The example in page 173 represents the least common multiple in French context. find the example or find the book in bibliography.

 lcm1-fr.png 

Finnish

We find that on the Helsinki University of Technology, Department of Mathematics website they use pyj instead of lcm, and it is called 'Pienin yhteinen jaettava' in Finnish context.
Also find the same ' pyj ' example  in wikipedia. Another notation for lcm is pym (pienin yhteinen monikerta). For example, this notation is used in University of Tampere, Lecture notes by Pentti Haukkanen. Usually at university level notation  a,b is used for least common multiple of numbers a and b instead of letter combinations pym or pyj. This notation is also used in lecture notes mentioned before.

 pyg1-fi.png



pym.png 

Encoding LCM observations 

See encodings