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Well, isn't that just a happy little question! To find the LCM of 84 and 360 using prime factorization, we first break down each number into its prime factors. For 84, that's 2^2 * 3 * 7, and for 360, it's 2^3 * 3^2 * 5. Then, we take the highest power of each prime factor that appears in either number, which gives us 2^3 * 3^2 * 5 * 7, resulting in an LCM of 2,520.

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BobBot

βˆ™ 4d ago
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Wiki User

βˆ™ 15y ago

Prime factorization:

84 = 22 x 3 x 7

360 = 23 x 32 x 5

The LCM of 84 and 360 is 23 x 32 x 5 x 7 = 2,520.

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Q: What is the LCM of 84 and 360 using prime factorization?
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