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What is the LCM of 378 and 2304?

The LCM of 378 and 2304 is 48384.

Steps to find LCM

  1. Find the prime factorization of 378
    378 = 2 × 3 × 3 × 3 × 7
  2. Find the prime factorization of 2304
    2304 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
  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 × 2 × 2 × 2 × 3 × 3 × 3 × 7
  4. LCM = 48384

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