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What is the LCM of 315 and 3675?

The lcm of 315 and 3675 is 11025.

Steps to find LCM

  1. Find the prime factorization of 315
    315 = 3 × 3 × 5 × 7
  2. Find the prime factorization of 3675
    3675 = 3 × 5 × 5 × 7 × 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 × 5 × 5 × 7 × 7
  4. LCM = 11025

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