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First write down the factors of 36, which are 2 * 2 * 3 * 3; and the same for 78 which are 2 * 3 * 19, so the smallest factors needed to make the LCM are
2 * 2 * 3 * 3 * 19 = 684 .
That is the lowest number into which 36 and 78 will divide exactly. Such a number has to contain enough factors from the two sets so that both the 2 * 2 * 3 * 3 and the 2 * 3 * 19 can all be found .
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