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Calculate the Least Common Multiple or LCM of 52 and 1638

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The instructions to find the LCM of 52 and 1638 are the next:

1. Decompose all numbers into prime factors

522
262
1313
1
16382
8193
2733
917
1313
1

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

Prime factors of 52=22 . 13
Prime factors of 1638=2 . 32 . 7 . 13

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

Common prime factors: 2 , 13

Common prime factors with the greatest exponent: 22, 131

Uncommon prime factors: 3 , 7

Uncommon prime factors with the greatest exponent: 32, 71

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. 131. 32. 71 = 3276


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