The multiple of between 14 and 77 is
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Multiples of 14: 14, 28, 42, 56, 70, 84, etc. Multiples of 77: 77, 154, 231, 308, 385, 462, etc. The least multiple on the two lists that they have in common is the LCM of 14 and 77. Therefore, the LCM of 14 and 77 is 154.
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