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We present the first $L-$band (2.8 to 4.1~$\mu$m) spectroscopy of$\kappa$~Andromedae~b, a $\sim20~M_{\mathrm{Jup}}$ companion orbiting at$1^{\prime\prime}$ projected separation from its B9-type stellar host. Wecombine our Large Binocular Telescope ALES integral field spectrograph datawith measurements from other instruments to analyze the atmosphere and physicalcharacteristics of $\kappa$~And~b. We report a discrepancy of $\sim20\%$($2\sigma$) in the $L^{\prime}$ flux of $\kappa$~And~b when comparing topreviously published values. We add an additional $L^{\prime}$ constraint usingan unpublished imaging dataset collected in 2013 using LBTI/LMIRCam, theinstrument in which the ALES module has been built. The LMIRCam measurement isconsistent with the ALES measurement, both suggesting a fainter $L$-bandscaling than previous studies. The data, assuming the flux scaling measured byALES and LMIRCam imaging, are well fit by an L3-type brown dwarf. Atmosphericmodel fits to measurements spanning 0.9-4.8~$\mu$m reveal some tension with thepredictions of evolutionary models, but the proper choice of cloud parameterscan provide some relief. In particular, models with clouds extending tovery-low pressures composed of grains $\leq1~\mu$m appear to be necessary. Ifthe brighter $L^{\prime}$ photometry is accurate, there is a hint thatsub-solar metallicity may be required.

High Contrast Thermal Infrared Spectroscopy with ALES: The 3-4$\mu$m Spectrum of $\kappa$ Andromedae b