In this paper, Distributed Arithmetic (DA) based K-best List Sphere Detector (LSD) for a 3GPP Long Term Evolution (LTE) receiver is proposed. The K-best LSD block implemented with the use of DA, reduces the size of the parallel hardware multiply-accumulate. Further the improvement is achieved by applying modified DA. These modified DA based blocks are compared with conventional multiplier based and DA based blocks then found that the proposed design has an improvement in terms of area. This design has minimal hardware and computational complexity to meet the requirements of LTE standard. The VHDL coding for K-best LSD using DA and modified DA are downloaded onto Xilinx xc3s200-4ft256 and results were verified.