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What is the LCM of 45 and 84?

The lcm of 45 and 84 is 1260.

Steps to find LCM

  1. Find the prime factorization of 45
    45 = 3 × 3 × 5
  2. Find the prime factorization of 84
    84 = 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 × 3 × 3 × 5 × 7
  4. LCM = 1260

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