What is the difference between NMT and NLP?

Could you please clarify the distinction between Natural Machine Translation (NMT) and Natural Language Processing (NLP)? I understand that both are fields within the broader realm of artificial intelligence and computational linguistics, but I'm interested in understanding how they differ in their scope, purpose, and applications. Specifically, I'm wondering about the methodologies, techniques, and challenges that set them apart. Additionally, how do these two areas intersect, and what are some real-world examples where they're being used together to drive innovation in language technology?