What is the LCM of 3000 and 2000?
The LCM of 3000 and 2000 is 6000.
Steps to find LCM
- Find the prime factorization of 3000
3000 = 2 × 2 × 2 × 3 × 5 × 5 × 5 - Find the prime factorization of 2000
2000 = 2 × 2 × 2 × 2 × 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 × 5 × 5 × 5 - LCM = 6000
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Find least common multiple (LCM) of: 6000 & 4000 1500 & 1000 9000 & 6000 600 & 400 6000 & 2000 3000 & 4000 9000 & 2000 3000 & 6000
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