Larry is correct. This site has good reduced load data for .30-'06 and other calibers:
http://www.gmdr.com/lever/lowveldata.htm
The data there don't go below 5 grains of Bullseye for 878 fps with a 170-grain LFN bullet in the '06, but I have gotten good results with Accurate 31-114D down to 4 grains of Bullseye, and with the lighter .32 ACP cast bullets or single-0 buck you can go down to 3 grains of Bullseye. Use standard large rifle primers, no filler required.
With heavier bullets such as Accurate 31-134D I get best results with 6 grains.