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What is the LCM of 3675 and 5040?

The lcm of 3675 and 5040 is 176400.

Steps to find LCM

  1. Find the prime factorization of 3675
    3675 = 3 × 5 × 5 × 7 × 7
  2. Find the prime factorization of 5040
    5040 = 2 × 2 × 2 × 2 × 3 × 3 × 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 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7
  4. LCM = 176400

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