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What is the LCM of 12 and 90?

The lcm of 12 and 90 is 180.

Steps to find LCM

  1. Find the prime factorization of 12
    12 = 2 × 2 × 3
  2. Find the prime factorization of 90
    90 = 2 × 3 × 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 × 2 × 3 × 3 × 5
  4. LCM = 180

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