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In order to use interleaved boost converters in the discontinuous conduction mode (DCM), the variation in the phase current and the input current ripple is analyzed theoretically. Based on the detailed analysis, a numerical formula for the input current ripple is deduced by including three criteria. Using the numerical formula, the optimized inductance that reduces the input current ripple and losses is deduced. The boundary conduction mode (BCM) is also compared with the discontinuous conduction mode to verify their strong points. In order to verify the analysis, simulation and experimental results are compared with theoretical data. The consideration of the BCM is also progressed by comparing with the DCM, and the results were different in terms of the efficiency and the input current ripple.