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We calculate the final mass of a black hole by the integration of the accreted radiation energy density during the leptonic era between $t\\sim10^{-4}s$ to $t\\sim 10^2s$ after the Big Bang. Our results indicate that small PBHs with initial masses between $10^{-4}$ to $1M_{\\odot}$ may grow up to hundreds of solar masses, and thus can be SMBH seeds. 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