What is the LCM of 6000 and 9000?
The LCM of 6000 and 9000 is 18000.
Steps to find LCM
- Find the prime factorization of 6000
6000 = 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 - Find the prime factorization of 9000
9000 = 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 - 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 × 3 × 3 × 5 × 5 × 5 - LCM = 18000
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