We evaluate the performance of HEVC Intra and Inter coding of Digital Imaging and Communications in Medicine (DICOM) standard based medical images in both lossless and lossy mode compared to JPEG 2000 (JP2). Prior studies have used Main Still Profile to evaluate lossless HEVC Intra coding whereas we have used HEVC Range extension Profiles. Besides lossless Intra coding, our study evaluates lossless Inter prediction of DICOM based medical image series. The results show that HEVC Inter Prediction achieves reduction in file size up to 39% for the lossless inter mode and up to 94% for lossy mode in case of images with low loss accepted in some medical imaging (PSNR greater than 50 dB). This reduction of file size is significant and can be used to reduce transmission and storage cost especially in a cloud based e-healthcare scenario.