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What is the LCM of 216 and 2400?

The LCM of 216 and 2400 is 21600.

Steps to find LCM

  1. Find the prime factorization of 216
    216 = 2 × 2 × 2 × 3 × 3 × 3
  2. Find the prime factorization of 2400
    2400 = 2 × 2 × 2 × 2 × 2 × 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 × 2 × 2 × 3 × 3 × 3 × 5 × 5
  4. LCM = 21600

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