When the bloom starts fading is the time to remove it, green or with brown spots. You'll notice that the flower stalk comes up right next to the leaf petiole. Be sure to cut the stalk and do not try to rip or twist it out. Leaving the flowers on for an extended period of time can cause the new leaves to come out smaller. This is from the energy used in the flower production.
Spathiphyllums are excellent foliage plants even without flowers.
Enjoy your plant while it is in bloom and then enjoy this tough indoor plant for its foliage. Hey, if you want flowers all the time try some artificial ones in your real plants. One of the KEYS to caring for your indoor plants is good information. Care info you'll not find on care tags and have a hard time getting from the local garden center or nursery. For more articles on indoor plant care just click here.