From the trailhead parking, you want to locate an old mining road that heads up to the south, following a broad, forested ridge on the east side of Sayres Gulch. The road shows on the 1960 USGS quad, but has been removed from the San Isabel NF map. In 1992, this road was closed by a gate. To get to that road, you'll need to cross the South Fork of lake Creek and also, possibly the creek coming out of Sayres Gulch. We found a couple of small dams for measuring stream flow that gave us dry access across. Once across the creek(s), begin following the old road that deteriorates quickly as it switchbacks up the mountainside numerous times. Once the road left the trees, we took a more direct course, staying close to it, but hiking due south over mostly tundra. At 12,000 feet, there will be an old cabin. Leave the road here and contour east across the basin and gain the NW ridge of UN13,460. The remaining ascent will be mostly on tundra with some rock scattered in, and of course, rockier as you approach the summit. There's a lot of elevation gain to this one over short mileage, but it's never difficult.
A slightly different approach to this summit would be to continue following the old mining road which continues up the basin west of UN13,460 and ascends all the way to Pt. 13,430. Then head north for the 13,460 summit.
From the summit, you may want to continue on over to Sayres Benchmark. it's an easy mile and a half ridge walk with tundra and some rocky rubble.
Links to other information, routes & trip reports for this peak that may be helpful.