Most Jeep vehicles use a standard #552 (light-duty) or #536 (heavy-duty, can switch/flash more lamp) flasher. Either of these may be replaced with the same part number for an electronic flasher (I used Tridon EL-12 for my replacements - not because I installed LED bulbs - yet - but beacuse I wanted to be able to tow without having my lamps go silly. I'll be building LED array lamps sometime in the future, and I'll document the project.)
The typical "silver can" flasher is called a "thermal" flasher, and works by a bimetallic strip. When current passes through the strip, it heats up and makes it flex. When it gets warm enough, it will flex enough to "break" the internal contacts and cool off. When it gets cool enough, it relaxes back and allows the contacts to "make."
An electronic flasher is a simple timer circuit controlling a relay. It doesn't care how many lamps are wired up to it (as long as it doesn't exceet the power/current rating of the flasher unit,) and it will work neatly with LEDs.
Of course, you've probably noted that a turn indicator bulb burning out is enough to change the flash rate. You won't get that "notice" of a bulb failure with an electronic flasher - since it will flash one lamp or twelve at the same rate (most are rated for up to twelve lamps per circuit.) So, regular lighting checks should be done (and they're something I do quarterly on all my vehicles as part of a "short inspection" anyhow. I do a comprehensive inspection - roughly what I used to do for commercial vehicles - annually.)
The typical electronic flasher unit should go for $10-15 at the local. If you have two flashers - one for turn indicators and one for hazzards - buy two.
The other advantage to electronic flashers? They tend to last far longer than "thermal" flashers - so you're getting your money's worth. Don't feel bad about spending it.
"recon" (sic - reckon)(tm) "hihgly"(tm) "seceed"(tm)
"Outback AIDS - Alcohol-Induced Dizzy Spells"