just so you know 4D alky cells pushing ~3+ amps, isnt going to be ~6V when under that kind of load, it would depend on the freshness of the cell (in shelf time) and how long it has run for, but your probably looking at more like ~4.8-5v under that load. tiny resistance to each led unit will probably be sufficient. this also assumes that ALL are ON at the time, you wouldnt want to suddenly only have 1 connected.
if you doubble up parelell, then the battery could cope with the ~1.5+A probably just fine (the voltage would be higher under that kind of load), or 6V lantern batteries dont they have a bit more than D in them? then you wouldn't be "current limited" by the battery so much.
note: i am NOT saying anything bad, or wrong with it, i am just saying with 4x alkaline D cells you might get close to a Direct drive (slight resistance) because the batteries themselves will only put out so much, which is sorta good, easy, cheap. With 4X ni-mh or if anyone should Decide LATER to go rechargable it would be quite different.
with that setup it might be good to use them AMC1735 instead, because they would be sorta made for that kinda setup, and your resistance would reduce as it was not needed, but its easy still to add just slight resistance, and go with it.
all/any added resistance letting off power in heat, is waste, raising the voltage then blowing it out in resistance is not efficent, unless your resistance is putting out Light
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but changing from series to parellel, will reduce the amps and increase the voltage, which would completly vary the current and resistance ammounts.
sooo
if your going to use the calculator , which is a good thing, then put in all your parmeters, and see what your variances are. put in your max high voltages, along with your voltages under a hard load, and even your discharged low voltages, then the calculator can give you more real results.