Answers

The LCM of 9600 and 4725 is 604800.

Steps to find LCM

1. Find the prime factorization of 9600
   9600 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 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 × 3 × 3 × 3 × 5 × 5 × 7
4. LCM = 604800

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