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Calculate the Least Common Multiple or LCM of 30000

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The instructions to find the LCM of 30000 are the next:

1. Decompose all numbers into prime factors

300002
150002
75002
37502
18753
6255
1255
255
55
1

2. Write all numbers as the product of its prime factors

Prime factors of 30000=24 . 3 . 54

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2 , 3 , 5

Common prime factors with the greatest exponent: 24, 31, 54

Uncommon prime factors: None

Uncommon prime factors with the greatest exponent: None

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 24. 31. 54 = 30000


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