Simplest way to make a dresser drawer lockable?

It’s a wooden dresser. I want it to be a combination padlock, not a key lock. My friend has a power drill.

I’m thinking just drill two holes, with the drawer closed (one into the back of the dresser and one into the side at the same elevation—so four holes total because each of the two will go through both the outer frame and the drawer). Then thread a good chain through the four holes and lock it with the padlock. Sound good?