Solutions by everydaycalculation.com

The LCM of 3000 and 7000 is 21000.

- Find the prime factorization of 3000

3000 = 2 × 2 × 2 × 3 × 5 × 5 × 5 - Find the prime factorization of 7000

7000 = 2 × 2 × 2 × 5 × 5 × 5 × 7 - Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 - LCM =
**21000**

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