I don't know, but Husqvarna says my tractor has a K46bt, and K46BT is in the parts diagram.
However the sticker and Tuff Torq agree its a K57R. I believe from the factory.
It uses the foot pedal shifter, not the hand lever.
YTH24V48
Not sure what year, maybe 2018.
The LTH17546 has a K46BS according to the transmission sticker itself and is a hand shifter. I think the levers on the trans differ, and did not attempt a swap, though it may have been as simple as swapping the shift lever and doing without a reverse switch (mounted by the hand shifter on this one, and on the transmission in the other.