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Calculate the Least Common Multiple or LCM of 20100

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The instructions to find the LCM of 20100 are the next:

1. Decompose all numbers into prime factors

201002
100502
50253
16755
3355
6767
1

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

Prime factors of 20100=22 . 3 . 52 . 67

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

Common prime factors: 2 , 3 , 5 , 67

Common prime factors with the greatest exponent: 22, 31, 52, 671

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 = 22. 31. 52. 671 = 20100


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