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It wouldn't be the heat used for drying, it would be the heat used for washing. Assuming that you have a dishwasher with a sanitize cycle/option always use it. they are required to reach a minimum temperature of 150f. typical range in actual products is 165ÂşF to 180ÂşF (74ÂşC to 82ÂşC)
I still wouldn't trust that to be all that great. Sanitize isn't a very controlled term (sterilize is). If you look up autoclaves, which are essentially steam baths to kill bacteria, they only get 90% of microbial life after more than an hour, and their temperatures are much higher than any dishwasher will reach.