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We propose a Gaussian mixture language model for speech recognition. Two potential benefits of using this model are smoothing unseen events, and ease of adaptation. It is shown how this model can be used alone or in conjunction with a a conventional N-gram model to calculate word probabilities. An interesting feature of the proposed technique is that many methods developed for acoustic models can be easily ported to GMLM. We developed two implementations of the proposed model for large vocabulary Arabic speech recognition with results comparable to conventional N-gram.