Searches for dark matter particles in particle detectors have been unsuccessful thus far, so we must rely on astronomical observations.
What is the smallest scale at which we have detected "dark matter" (more kinetic energy than would be predicted)?
Currently, the smallest clumps of dark matter that have been observed were found by Hubble 2 years ago using lensed light from distant quasars. These clumps are between $10^{4}$ to $10^{5}$ times less massive than the dark matter halo of the Milky Way. Many of these groupings apparently are too small to even contain galaxies and are thus cannot be found via traditional methods. These clumps were deduced by the distortions they imbue on the lensed images of the background quasars.
If you don't mind indulging a follow-up: Would its detection on smaller scales be beneficial at all to advancing our understanding?
EDIT:
This can inform us about galactic formation and evolution, and the relationship between the mass of galaxies and their corresponding dark matter, however these topics are very uncertain. One thing that was learned from this, is that the warm dark matter hypothesis (relevant specifically for dark matter in small galaxies) can be ruled out since these dark matter clumps would require a temperature lower than what is required by the warm dark matter hypothesis. This is the "strongest evidence yet for the presence of small clumps of cold dark matter." Also, in principle, properties of the possible particle nature of cold dark matter can be inferred from the number of these small clumps in a galaxy, but this is also uncertain and requires more work. This is the first time (I think) that dark matter was detected without using stars as tracers for the dark matter, so hopefully this could be done again in the future with new detectors and expand on these findings.
Science paper here;