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For pillar karok learning the timings for grizzly uppercut, which allows you to chain your smashes together. This allows you to get to your third smash faster, like anderzejn alluded to, instead of going for LLLRRR which is really slow, you can go from your first smash into the second smash with good timing with LR(pause)L, or go from first smash to third by LRR(pause)L.
But most of the dmg comes from timing your smashes with the bosses attacks as well, since you get free extra dmg when you absorb shock with a smash attack. Also managing your buffs is important too, pillar karok can essentially attack forever if you chain your buffs correctly, in combination with your sp skills.