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What is the LCM of 75 and 315?

The lcm of 75 and 315 is 1575.

Steps to find LCM

  1. Find the prime factorization of 75
    75 = 3 × 5 × 5
  2. Find the prime factorization of 315
    315 = 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 × 5 × 5 × 7
  4. LCM = 1575

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