I've sent a few probes to the Jool system as warmup for an eventual Jool-5 mission. At first I used direct missions which cost about 2000 m/s from LKO to Jool aerobraking, but I've seen a few missions in these forums that use flybys to reduce that to around 1200-1300 m/s. So I wondered just how slow one can go and still get there. And I think I have the answer. 1051m/s. This means that getting from LKO to Jool orbit takes less dV then getting from LKO to a low Munar orbit!! (which is about 1130