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What is the LCM of 1200 and 6750?

The lcm of 1200 and 6750 is 54000.

Steps to find LCM

  1. Find the prime factorization of 1200
    1200 = 2 × 2 × 2 × 2 × 3 × 5 × 5
  2. Find the prime factorization of 6750
    6750 = 2 × 3 × 3 × 3 × 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 × 3 × 3 × 5 × 5 × 5
  4. LCM = 54000

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