Lighten Skin without Bleaching

This week, I was watching YouTube videos on natural hair and remedies for certain problems when I came across a "related video" on how to get rid of dark armpits.  Curiosity got the best of me, and I clicked on it.  All of a sudden, I saw TENS of videos on the same subject. 

Apparently, this is a real issue for people of various races. In the words of Huggy Lowdown, "Who knew?"  I mean, I've seen pictures of a woman with her hands raised that made me squint and say, "Is that hair?"  I've even looked at my own underarms while shaving and noticed they were slightly darker than the skin around them.  But I had no idea that this was such an issue that people sought remedies and felt the need to share them, or that so many other people would comment, thanking the ladies for making these videos. Interesting how we find fault in ourselves in the smallest and most hidden places.