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What is the LCM of 270 and 2100?

The lcm of 270 and 2100 is 18900.

Steps to find LCM

  1. Find the prime factorization of 270
    270 = 2 × 3 × 3 × 3 × 5
  2. Find the prime factorization of 2100
    2100 = 2 × 2 × 3 × 5 × 5 × 7
  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 × 3 × 5 × 5 × 7
  4. LCM = 18900

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