Based on a sample of 4.4 $mathrm{fb}^{-1}$ of $e^{+}e^{-}$ annihilation data
collected in the energy region between 4.6 GeV and 4.7 GeV with the BESIII
detector at BEPCII, two singly Cabibbo-suppressed decays $Lambda_c^+
ightarrow Sigma^0 K^+$ and $Lambda_{c}^{+}
ightarrow Sigma^+ K_{S}^0$
are studied. The ratio of the branching fraction $mathcal{B}(Lambda_c^+
ightarrow Sigma^0 K^+)$ relative to $mathcal{B}(Lambda_c^+
ightarrow
Sigma^0 pi^+)$ is measured to be $0.0361 pm 0.0073(mathrm{stat.}) pm
0.0005(mathrm{syst.})$, and the ratio of $mathcal{B}(Lambda_c^+
ightarrow
Sigma^+ K_{S}^0)$ relative to $mathcal{B}(Lambda_{c}^{+}
ightarrow
Sigma^+ pi^+ pi^-)$ is measured to be $0.0106 pm 0.0031(mathrm{stat.}) pm
0.0004(mathrm{syst.})$. After taking the world-average branching fractions of
the reference decay channels, the branching fractions $mathcal{B}(Lambda_c^+
ightarrow Sigma^0 K^+)$ and $mathcal{B}(Lambda_{c}^{+}
ightarrow
Sigma^+ K_{S}^0)$ are determined to be $(4.7pm 0.9(mathrm{stat.})pm
0.1(mathrm{syst.}) pm 0.3(mathrm{ref.})) imes10^{-4}$ and $(4.8pm
1.4(mathrm{stat.})pm 0.2(mathrm{syst.}) pm
0.3(mathrm{ref.})) imes10^{-4}$, respectively. The branching fraction of the
$Lambda_{c}^{+}
ightarrow Sigma^+ K_{S}^0$ decay is measured for the first
time.
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