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What is the LCM of 4000 and 2646?

The LCM of 4000 and 2646 is 5292000.

Steps to find LCM

  1. Find the prime factorization of 4000
    4000 = 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5
  2. Find the prime factorization of 2646
    2646 = 2 × 3 × 3 × 3 × 7 × 7
  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 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7
  4. LCM = 5292000

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