-3
$\begingroup$

Introductory Number Theory courses, and even in high school, focus on GCD and LCM. Why don't we learn more about Lowest Common Divisor and Greatest Common Multiple?

$\endgroup$
1
  • 4
    $\begingroup$ What's the greatest common multiple of two numbers? $\endgroup$ – Henry Towsner Feb 17 '20 at 22:34
6
$\begingroup$

The answer is simple: because it’s trivial. LCD Will Be always 1, even if one number is 0. GCM doesn’t exist, or it’s $\infty$, if you prefer.

The first would be a well defined object, but not so useful ;) The second... not even well defined in a Ring or a Field :(

$\endgroup$

Not the answer you're looking for? Browse other questions tagged or ask your own question.