<ul data-eligibleForWebStory="true">Researchers propose a new method for privacy-preserving $k$-means clustering in the horizontally federated setting.Existing federated approaches for $k$-means clustering have issues with overheads and output privacy.Differentially private $k$-means algorithms face challenges like a trusted curator or degraded utility due to added noise.A new method is introduced that enhances both differential privacy and secure computation components.The proposed design is faster, more private, and more accurate than previous approaches.Utilizing the computational differentially private model, a secure aggregation-based approach achieves significant speed improvements.The new method maintains and improves the utility compared to existing central models of differential privacy.