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What is the LCM of 7500 and 1800?

The LCM of 7500 and 1800 is 45000.

Steps to find LCM

  1. Find the prime factorization of 7500
    7500 = 2 × 2 × 3 × 5 × 5 × 5 × 5
  2. Find the prime factorization of 1800
    1800 = 2 × 2 × 2 × 3 × 3 × 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 × 3 × 3 × 5 × 5 × 5 × 5
  4. LCM = 45000

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