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The series 12*1;12*2;12*3;12*4...(the multiples of 12) begins with 12;24;36;48.
The series 48*1;48*2;48*3;48*4...(the multiples of 48) begins with 48, which we notice is also in the first series. Therefore, 48 is a common multiple of 12 and 48. Since 48 is the least number in the series, if 48 is a common multiple of 12 and 48, then it must be the least common multiple of 12 and 48. Since 48 is a common multiple of 12 and 48, 48 is the least common multiple of 12 and 48.
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