20230204, 22:10  #12 
Bamboozled!
"𒉺𒌌𒇷𒆷𒀭"
May 2003
Down not across
37·317 Posts 

20230204, 23:21  #13  
Apr 2020
2·5^{2}·19 Posts 
Quote:


20230205, 00:14  #14  
Feb 2017
Nowhere
6338_{10} Posts 
Quote:
Discerning the meaning of "common multiple" is merely a matter of knowing two basic definitions. Here, common clearly means "shared." And a multiple of an integer is that integer multiplied by an integer. Is 12 a multiple of 6? Yes, 12 = 6*2. Is 12 a multiple of 4? Yes, 12 = 4*3. So, 12 is a multiple of both 4 and 6; that is, it is a common multiple of 4 and 6. 

20230211, 10:01  #15 
"David Kirkby"
Jan 2021
Althorne, Essex, UK
2×229 Posts 
Having read this OU book more, it states that there’s an efficient method, known as Euclid’s algorithm, for finding the lowest common multiple and highest common factors without factorising. So my earlier comment was unfair to the OU. Their material is very good quality.

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