LCD? A question about notation?
So I'm well aware of the lack of consensus in what notation to use...
We have lcm(x,y) = [x,y] = x v y
and we have gcd(x,y) = gcf(x,y) = (x,y) = x ^ y.
I mean, I could even understand sup(x,y) for the first and inf(x,y) for the second, if we're defining them in terms of the divisor lattice.
However, there is one notation that I personally find to be incorrect:
LCD(x,y) = Least Common Denominator of x and y
to mean the same as the least common multiple of x and y.
(for supporting evidence, note http://dictionary.reference.com/browse/denominator )
So finally to the question (actually a few):
(1) What notation do you use?
(2) What country do you live in?
and the more important one for me:
(3) Do you know of any textbooks which use the notation LCD(x,y) to mean the least element such that both x and y divide it?
(And before anyone says it, yes I know that one needs to find the least common multiple of the denominators to compute the least common denominator - note the difference in semantics though)