No income tax, so the whole bill is federal.
South Dakota is one of the states that never got around to taxing income, which means capital gains on an investment property sale answer to the federal government alone. A seller here caps out at 23.8%, the federal long-term rate plus the NIIT surcharge, with nothing added on top.
With no state income tax, the math is simpler than in most places. The 23.8% ceiling breaks down like this:
Since there's no state layer to defer, a 1031 exchange in South Dakota is purely about pushing off the federal 23.8%. The exchange rules are federal anyway, so the mechanics don't change from state to state, just what you're deferring. Build the swap in the 1031 exchange calculator and set the 45- and 180-day clocks from the timeline calculator.