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What is the LCM of 2400 and 504?

The LCM of 2400 and 504 is 50400.

Steps to find LCM

  1. Find the prime factorization of 2400
    2400 = 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5
  2. Find the prime factorization of 504
    504 = 2 × 2 × 2 × 3 × 3 × 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 × 5 × 5 × 7
  4. LCM = 50400

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