Many improve in two months. It's impossible to know if you will be at your goal in two months. However, you will almost definitely not reach your maximum potential score in two months, and a few extra points on the LSAT is worth more than applying early in the application window. Definitely start now. Reevaluate in a month. If you need more time come August, or you feel you still have room for improvement, I would probably advise you to take it in October. Hitting your mark is more important than timing, but ideally you hit your mark and apply early.
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Many improve in two months. It's impossible to know if you will be at your goal in two months. However, you will almost definitely not reach your maximum potential score in two months, and a few extra points on the LSAT is worth more than applying early in the application window. Definitely start now. Reevaluate in a month. If you need more time come August, or you feel you still have room for improvement, I would probably advise you to take it in October. Hitting your mark is more important than timing, but ideally you hit your mark and apply early.