This paper extends the concept of Least-Total-Cost(LTC), offering the Minimal Total Cost(MTC) approach, which has an excellent recursive relationship. This approach is used to determine optimal solutions to dynamic economic lot size instead of approximations. This paper develops the concept of minimal total cost and proposes mathematical models for finding optimal solutions to order quantities. And several theorems that simplify the solution procedure of the MTC approach are introduced, marking the MTC approach easy to use. In another respect, the MTC approach can be used in situations where unit carrying costs per peiod are equal or unequal, and ordering costs per period are equal or unequal, giving the MTC approach a widely application. Further, this paper uses computer simulation, based on the CPU time required by a computer to calculate optimal lot sizes, to compare the computational efficiency of the MTC approach with that of the Wagner-Whitin (W-W) approach. The results show that the MTC approach clearly uses less CPU time than the W-W approach. Moreover, as the planning horizon increases, this trend becomes even more pronounced. Finally, the data from the simulation is used to find regression equations for the two approaches. These equations are then used to predict CPU times required by the two approaches for even longer planning horizons. The results are identical to those described above.