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Calculate the Least Common Multiple or LCM of 2 and 339

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The instructions to find the LCM of 2 and 339 are the next:

1. Decompose all numbers into prime factors

22
1
3393
113113
1

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

Prime factors of 2=2
Prime factors of 339=3 . 113

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

Common prime factors: None

Common prime factors with the greatest exponent: None

Uncommon prime factors: 2 , 3 , 113

Uncommon prime factors with the greatest exponent: 21, 31, 1131

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. 31. 1131 = 678


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