The fair place to meet is Las Vegas, NV — the city closest to the midpoint of Denver and Los Angeles. From the farther side that’s about 12 hr 41 min of driving.
Recommended midpoint
Las Vegas, NV
From Denver
12 hr 41 min
605 mi to Las Vegas
From Los Angeles
4 hr 47 min
228 mi to Las Vegas
Los Angeles has the shorter trip; the split is off by about 7 hr 54 min. The alternatives below can even it out. Denver and Los Angeles are about 830 miles apart.
Denver and Los Angeles are about 830 miles apart by road. Split the difference and you arrive near Las Vegas, the city closest to the halfway point between them. That puts roughly 12 hr 41 min of driving on the Denver side and 4 hr 47 min on the Los Angeles side — the fairest single meeting point among the cities near the middle.
Over this distance most people will fly rather than drive the whole way. Las Vegas still makes a fair, central place for Denver and Los Angeles to converge, splitting the travel instead of asking one side to cross the country.
If Las Vegas doesn't have what you're after, Phoenix and Salt Lake City are also close to the midpoint and worth a look — each keeps the drive reasonably balanced between Denver and Los Angeles.
Las Vegas, colloquially shortened to Vegas, is the most populous city in the U.S. state of Nevada and the county seat of Clark County. It is the 24th-most populous city in the United States, with 641,903 residents at the 2020 census. Read more →
Denver is the capital and most populous city of the U.S. state of Colorado. Officially a consolidated city and county, it is located in the South Platte River valley on the western edge of the High Plains, and is just east of the Front Range of the Rocky… Read more →
Los Angeles (LA) is the most populous city in the U.S. state of California, and the commercial, financial, and cultural center of Southern California. Read more →
City descriptions adapted from Wikipedia (CC BY-SA); photos via Wikimedia Commons, credited above.
Estimates use straight-line distance and typical road speeds; real drive times vary with route and traffic.