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The production cross section of prompt $\mathrm{\Lambda_{c}^{+}}$ charmbaryons was measured with the ALICE detector at the LHC at midrapidity inproton-proton (pp) and proton-lead (p-Pb) collisions at a centre-of-mass energyper nucleon pair of $\sqrt{s_\mathrm{NN}} = 5.02$ TeV. The$\mathrm{\Lambda_{c}^{+}}$ and $\rm {\overline{\Lambda}{}_c^-}$ baryons werereconstructed in the hadronic decay channels $\rm \Lambda_{c}^{+} \rightarrow pK^{-}\pi^{+}$ and $\rm \Lambda_{c}^{+}\to p K^{0}_{S}$ and respective chargeconjugates. The measured differential cross sections as a function oftransverse momentum ($p_{\rm T}$) and the $p_{\rm T}$-integrated$\mathrm{\Lambda_{c}^{+}}$ production cross section in pp and in p-Pbcollisions are presented. The $\mathrm{\Lambda_{c}^{+}}$ nuclear modificationfactor ($R_\mathrm{pPb}$), calculated from the cross sections in pp and in p-Pbcollisions, is presented and compared with the $R_\mathrm{pPb}$ of D mesons.The $\mathrm {\Lambda_{c}^{+}}/\mathrm {D^0}$ ratio is also presented andcompared with the light-flavour baryon-to-meson ratios p$/\pi$ and $\Lambda/\mathrm {K^0_S}$, and measurements from other LHC experiments. The results arecompared to predictions from model calculations and Monte Carlo eventgenerators.

$\mathrm{\Lambda_{c}^{+}}$ production in pp and in p-Pb collisions at $\sqrt{s_{\rm {NN}}} = 5.02$ TeV