AreaVibes reveals the best places to live in Kentucky for 2016 using our Livability Score. The Livability Score for each city in Kentucky is calculated out of 100 from a unique algorithm based on various metrics, including: amenities, cost of living, crime, education, employment, housing and weather. Kentucky has a population of 4,340,167 and a population density of 108.4 people per square mile. The capital city is Frankfort and the largest city in Kentucky is Louisville. To filter the results, use the dropdown options to sort by population or category.