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What is the LCM of 6000 and 5625?

The LCM of 6000 and 5625 is 90000.

Steps to find LCM

  1. Find the prime factorization of 6000
    6000 = 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5
  2. Find the prime factorization of 5625
    5625 = 3 × 3 × 5 × 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 × 5 × 5 × 5 × 5
  4. LCM = 90000

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