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Calculate the Least Common Multiple or LCM of 2 and 514

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The instructions to find the LCM of 2 and 514 are the next:

1. Decompose all numbers into prime factors

22
1
5142
257257
1

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

Prime factors of 2=2
Prime factors of 514=2 . 257

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: 257

Uncommon prime factors with the greatest exponent: 2571

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. 2571 = 514


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