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What is the LCM of 5000 and 500?

The lcm of 5000 and 500 is 5000.

Steps to find LCM

  1. Find the prime factorization of 5000
    5000 = 2 × 2 × 2 × 5 × 5 × 5 × 5
  2. Find the prime factorization of 500
    500 = 2 × 2 × 5 × 5 × 5
  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 × 5 × 5 × 5 × 5
  4. LCM = 5000

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