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What is the LCM of 84 and 75?

The LCM of 84 and 75 is 2100.

Steps to find LCM

  1. Find the prime factorization of 84
    84 = 2 × 2 × 3 × 7
  2. Find the prime factorization of 75
    75 = 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 × 3 × 5 × 5 × 7
  4. LCM = 2100

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