Terminology: Product of numerator and denominator of rational number

Question

I cannot find the correct terminology for the following:

Let $r=\frac{a}{b}$ with $a$,$b \in \mathbb{N}$ and coprime. I define $q=a\cdot b$. How is $q$ called?

I know that one can order rational numbers using the product of their nominator and denominator, but how is the product called? Order of the rational number? I was not able to locate a creditable source. Thanks

Edit: I would like to say a sentence such as "q is the $x$ of the rational number r." - what is $x$?

Answer 1

If you have an algorithm depending on two parameters $a$ and $b$, you may define the multiplicative size of your entry as the product $ab$. You could perhaps use the same term in your case.