Answers

The LCM of 6400 and 4725 is 1209600.

Steps to find LCM

1. Find the prime factorization of 6400
   6400 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5
2. Find the prime factorization of 4725
   4725 = 3 × 3 × 3 × 5 × 5 × 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 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7
4. LCM = 1209600

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