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What is the LCM of 420 and 3200?

The lcm of 420 and 3200 is 67200.

Steps to find LCM

  1. Find the prime factorization of 420
    420 = 2 × 2 × 3 × 5 × 7
  2. Find the prime factorization of 3200
    3200 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 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 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7
  4. LCM = 67200

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