From the summit of Loveland Pass, walk uphill to the NE along the very well-used trail that leads up to Pt. 12,915. Most of the tourists will not continue on beyond that point and many will give up even sooner, not being accustomed to the altitude and typically cool winds. The wide path carved through the tundra is braided at times. Do what you can to minimize further damage. The elevation gain to Pt. 12,915 will be 925 feet.
From Pt. 12,915 walk north following more trail as it passes through the tundra to the Sniktau false summit of 13,152 ft, gaining another couple hundred feet after losing about 100 feet. From the false summit, continue another .4 mile to the Sniktau summit over what continues as mostly tundra terrain until the final 200 feet of gain to the summit. This last section becomes rockier, but still has well-defined trail.
Summit view: You can peruse from a distance the Citadel to the NNW, Hagar and Pettingell; Bard and Parnassus to the NNE, and to the east and southeast, Grays, Torreys, Grizzly and Kelso, and the less-visited Kearney and Grizzly Gulches. Then of course, there's the ever-busy I-70 far below.
Return as you came for a 1.5 hour roundtrip hike, or at Pt. 12,915, continue hiking SE toward Cupid and Grizzly.
Links to other information, routes & trip reports for this peak that may be helpful.