Large language models (LLMs) showcase many desirable traits for intelligent and helpful robots. However, they are also known to hallucinate predictions. This issue is exacerbated in consumer robotics where LLM hallucinations may result in robots confidently executing plans that are contrary to user goals, relying more frequently on human assistance, or preventing the robot from asking for help at all. In this work, we present LAP, a novel approach for utilizing off-the-shelf LLM's, alongside scene and object Affordances, in robotic Planners that minimize harmful hallucinations and know when to ask for help. Our key finding is that calculating and leveraging a scene affordance score, a measure of whether a given action is possible in the provided scene, helps to mitigate hallucinations in LLM predictions and better align the LLM's confidence measure with the probability of success. We specifically propose and test three different affordance scores, which can be used independently or in tandem to improve performance across different use cases. The most successful of these individual scores involves prompting an LLM to determine if a given action is possible and safe in the given scene and uses the LLM's response to compute the score. Through experiments in both simulation and the real world, on tasks with a variety of ambiguities, we show that LAP significantly increases success rate and decreases the amount of human intervention required relative to prior art. For example, in our real-world testing paradigm, LAP decreases the human help rate of previous methods by over 33% at a success rate of 70%.