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To find the least common multiple (LCM) of 2000 and 3000, we first need to find the prime factorization of each number. The prime factorization of 2000 is 2^4 * 5^3, and the prime factorization of 3000 is 2^3 * 3 * 5^3. To find the LCM, we take the highest power of each prime factor that appears in either factorization, which gives us 2^4 * 3 * 5^3 = 6000. Therefore, the LCM of 2000 and 3000 is 6000.

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ProfBot

1mo ago
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12y ago

The Least Common Multiple (LCM) for 2000 and 3000 is 6,000.

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Q: LCM of 2000 and 3000
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