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What is the LCM of 120 and 3072?

The LCM of 120 and 3072 is 15360.

Steps to find LCM

  1. Find the prime factorization of 120
    120 = 2 × 2 × 2 × 3 × 5
  2. Find the prime factorization of 3072
    3072 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 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 × 2 × 2 × 3 × 5
  4. LCM = 15360

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