Completely off-topic random question: how closely related are Mormon families, generally? With similarly insular populations (Mormons seem to tend to marry other Mormons), that have families that are larger than normal, it seems like family ties would proliferate and you'd end up with communities that are rather closely knit through webs of marriage.
Def. off topic. ;) UTAH-based (note the qualifier) are insular, though that is most certainly less and less the case. Both Mormon and Gentile (I'm being cheeky) populations are significant enough that marriages are factional across the board. There are still some not-so-distant 2nd, 3rd, and so-forth cousins, but that would be the exception not the rule (guesstimating here).
I'm certain someone has done a study on this, and if not it'd be interesting to see one done.
It uses information from https://www.familysearch.org/ (sponsored by the LDS church, but widely used by those interested in genealogy). To get started, you'd need to enter some data to get back to your deceased ancestors.
My wife and I are "9th cousins once removed" (common ancestor 10-11 generations back).
Mormons settled Utah in the 1800s, and in the 200 years since they've been quite incredibly successful at attracting other people to their faith (and consequently often to their state too) from other states, Canada, and European countries, with everyone multiplying fruitfully. There's plenty of genetic diversity. You could satisfy your curiosity with almost any specific Mormon couple though by asking how closely related they are, Mormons are good at keeping track of their ancestry.