What is the LCM of 108 and 8640?
The LCM of 108 and 8640 is 8640.
Steps to find LCM
- Find the prime factorization of 108
108 = 2 × 2 × 3 × 3 × 3 - Find the prime factorization of 8640
8640 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 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 × 2 × 2 × 3 × 3 × 3 × 5 - LCM = 8640
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