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What is the LCM of 120 and 1275?

The LCM of 120 and 1275 is 10200.

Steps to find LCM

  1. Find the prime factorization of 120
    120 = 2 × 2 × 2 × 3 × 5
  2. Find the prime factorization of 1275
    1275 = 3 × 5 × 5 × 17
  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 × 5 × 5 × 17
  4. LCM = 10200

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