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What is the LCM of 54 and 30?

The lcm of 54 and 30 is 270.

Steps to find LCM

  1. Find the prime factorization of 54
    54 = 2 × 3 × 3 × 3
  2. Find the prime factorization of 30
    30 = 2 × 3 × 5
  3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

    LCM = 2 × 3 × 3 × 3 × 5
  4. LCM = 270

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