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What is the LCM of 735 and 672?

The lcm of 735 and 672 is 23520.

Steps to find LCM

  1. Find the prime factorization of 735
    735 = 3 × 5 × 7 × 7
  2. Find the prime factorization of 672
    672 = 2 × 2 × 2 × 2 × 2 × 3 × 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 × 3 × 5 × 7 × 7
  4. LCM = 23520

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