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What is the LCM of 3584 and 6174?

The LCM of 3584 and 6174 is 1580544.

Steps to find LCM

  1. Find the prime factorization of 3584
    3584 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7
  2. Find the prime factorization of 6174
    6174 = 2 × 3 × 3 × 7 × 7 × 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 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7
  4. LCM = 1580544

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