Lowest Common Multiple Politics

In Mathematical terms, Nietzsche's main complaint about Egalitarianism is that it promotes Averageness.  Likewise in Mathematical terms, Eugenicism, which he advocates, aims at Lowest Common Multiples.  So, his criticism of Democracy, as a breeder of Egalitarianism, misses that in a pluralistic society, such as the U. S., it can also be fertile ground for Miscegenation.  In other words, he seems to fail to consider the potential in a Democracy for Lowest Common Multiple Politics, of which he implicitly approves.