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What is the LCM of 108 and 1152?

The lcm of 108 and 1152 is 3456.

Steps to find LCM

  1. Find the prime factorization of 108
    108 = 2 × 2 × 3 × 3 × 3
  2. Find the prime factorization of 1152
    1152 = 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 × 3 × 3 × 3
  4. LCM = 3456

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