Have you cleared out your temp directory? Mine is at C:\Users\mboucher\AppData\Local\Temp. I routinely delete everthing in this directory, especially when I'm getting errors it Arc Map. I can't recall this directory being related to "out of memory" errors though.
What type of raster are you classifying? What bit depth? How many training sites are you using? How many classes? Where is the input raster stored? What is the cell size of the input?
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