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What is the LCM of 3000 and 2000?

The LCM of 3000 and 2000 is 6000.

Steps to find LCM

  1. Find the prime factorization of 3000
    3000 = 2 × 2 × 2 × 3 × 5 × 5 × 5
  2. Find the prime factorization of 2000
    2000 = 2 × 2 × 2 × 2 × 5 × 5 × 5
  3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

    LCM = 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5
  4. LCM = 6000

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