Docker Swarm is an orchestration management tool that runs on Docker applications, providing automatic load balancing within containers. However, its limitations include being strongly tied to the Docker API, having limited customization options and capabilities compared to Kubernetes. In contrast, Kubernetes is an open-source container orchestration system that automates deployment, management, and scaling of containerized applications with flexibility in clusters. It offers a wide range of key functionalities, including service discovery, load balancing, horizontal and vertical scalability, and more. While Kubernetes has a steep learning curve and can be complex for simple workloads, it is better suited for complicated workloads due to its larger user base and ecosystem. Ultimately, the choice between Docker Swarm and Kubernetes depends on individual needs and objectives.