In Calculus, whenever we see a constant and want to take the derivative of it, it always is 0. However in Number Theory, we have something called the arithmetic derivative in which we can differentiate to get some nonzero term. 
So we can denote the arithmetic derivative the same way as in calculus, say for some $x$, we can say $x'$ to be the arithmetic derivative. Some properties of arithmetic derivatives are that:

* For all primes, the arithmetic derivative is $1$.
* Product Rule: $(xy)'=x'y+xy'$
* $0'=1'=0$

Now, there is also some lesser-known sub-part to the arithmetic derivative called the Arithmetic Logarithmic Derivative, $L(n)$, which is equal to $\frac{n'}{n}$. My question is that less than $100$, how many pairs of distinct positive integers (call them $a$ and $b$) does $L(a)=L(b)$?