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To find the lowest common multiple (LCM) of two numbers, we first need to find the prime factorization of each number. The prime factorization of 42 is 2 x 3 x 7, and the prime factorization of 49 is 7 x 7. To find the LCM, we take the highest power of each prime factor that appears in either number, which gives us 2 x 3 x 7 x 7 = 294. Therefore, the lowest common multiple of 42 and 49 is 294.

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