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What is the LCM of 6750 and 5040?

The LCM of 6750 and 5040 is 378000.

Steps to find LCM

  1. Find the prime factorization of 6750
    6750 = 2 × 3 × 3 × 3 × 5 × 5 × 5
  2. Find the prime factorization of 5040
    5040 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 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 × 3 × 3 × 3 × 5 × 5 × 5 × 7
  4. LCM = 378000

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