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What is the lcm of 108 and 72?

Updated: 8/20/2019
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Wiki User

11y ago

Best Answer

The LCM is 216.

Explanation

72 = 2 x 2 x 2 x 3 x 3 --- (23 x 32)

108 = 2 x 2 x 3 x 3 x 3 --- (22 x 33)

The highest exponent of each factor is 23 and 33, and 8 x 27 = 216

You can see that 216 is (72 x 3) or (108 x 2). There is no smaller even multiple.

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Rather than using the exponential formula, you can also multiply the common factors by the uncommon factors.

Common factors = 2 x 2 x 3 x 3 (36)

Uncommon factors = 2 and 3 (6) and 36 x 6 = 216

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Wiki User

12y ago
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11y ago

216

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Q: What is the lcm of 108 and 72?
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