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I have an old 6 volt lantern that uses a battery that is 6 inches wide, 4 inches tall, and 3 inches deep.
If I turn it on it gives you almost enough light to actually see where you are going and the battery lasts for about 2 hours.
With two 18650s I could replace that battery for a package 2/3 the size of a pack of cigarettes and run that light for a day or so.
If I replace the bulb in it with an LED equivalent I could probably stretch that out to nearly a week.
Its important to consider amperage discharge too. Can the two 18660s put out the same current as the big rectangle one?
Replacing the old halogen with led would be a big difference. Ot would need basically no amperage. At that point you can attach usb male to alligator clips, clip the ends of the lanterns battery pack connectors to supply 5v 2.4a of power directly with a power bank.
I use a 5 volt led bulb that plugs into regular usba slot. It works with small power banks and ast forever on larger 20ah batteries.
High discharge 18650s can provide 20-30 amps, doubt the lamp needs that much current if it's powered off older battery tech