Solutions by everydaycalculation.com

## What is the LCM of 5040 and 6750?

The LCM of 5040 and 6750 is 378000.

#### Steps to find LCM

1. Find the prime factorization of 5040
5040 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7
2. Find the prime factorization of 6750
6750 = 2 × 3 × 3 × 3 × 5 × 5 × 5
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 × 3 × 3 × 3 × 5 × 5 × 5 × 7
4. LCM = 378000

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