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Calculate the Least Common Multiple or LCM of 2002 and 2618

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The instructions to find the LCM of 2002 and 2618 are the next:

1. Decompose all numbers into prime factors

20022
10017
14311
1313
1
26182
13097
18711
1717
1

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

Prime factors of 2002=2 . 7 . 11 . 13
Prime factors of 2618=2 . 7 . 11 . 17

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

Common prime factors: 2 , 7 , 11

Common prime factors with the greatest exponent: 21, 71, 111

Uncommon prime factors: 13 , 17

Uncommon prime factors with the greatest exponent: 131, 171

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. 71. 111. 131. 171 = 34034


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