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To find the LCM, you first need to express the numbers as the product of their prime factors. In this case, that would be:

1296 = 2x2x2x2x3x3x3x3

192 = 2x2x2x2x2x2x3

The next step is to identify any common factors. In this case both numbers have four 2s, so we can discard 4 of these. Also, both numbers have a 3, so we can discard one of these. Take every other factor (2, 2, 2, 2, 2, 2, 3, 3, 3 and 3) and multiply them together to find the lowest common multiple

2x2x2x2x2x2x3x3x3x3 = 5,184

Thus the LCM of 1296 and 192 is 5,184

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13y ago

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