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What is the LCM of 3675 and 945?

The lcm of 3675 and 945 is 33075.

Steps to find LCM

  1. Find the prime factorization of 3675
    3675 = 3 × 5 × 5 × 7 × 7
  2. Find the prime factorization of 945
    945 = 3 × 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 = 3 × 3 × 3 × 5 × 5 × 7 × 7
  4. LCM = 33075

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