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Calculate the Least Common Multiple or LCM of 2 and 1026

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The instructions to find the LCM of 2 and 1026 are the next:

1. Decompose all numbers into prime factors

22
1
10262
5133
1713
573
1919
1

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

Prime factors of 2=2
Prime factors of 1026=2 . 33 . 19

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

Common prime factors: 2

Common prime factors with the greatest exponent: 21

Uncommon prime factors: 3 , 19

Uncommon prime factors with the greatest exponent: 33, 191

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 = 21. 33. 191 = 1026


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