Asking for Multiple Recommendations

I have currently applied to 2 summer programs and I am planning on applying to 4 more. Each one requires 2 teacher recommendations. I am afraid that my teachers will get annoyed at the multiple recommendations.

Is it okay to ask the same teachers for recommendations for my next 4 applications?
I told them to save their previous recs because I will be applying to more.

If they are pretty similiar just tell them to change the name of the program. Teachers should be fine with that.