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Calculate the Least Common Multiple or LCM of 52 and 2040

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The instructions to find the LCM of 52 and 2040 are the next:

1. Decompose all numbers into prime factors

522
262
1313
1
20402
10202
5102
2553
855
1717
1

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

Prime factors of 52=22 . 13
Prime factors of 2040=23 . 3 . 5 . 17

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

Common prime factors: 2

Common prime factors with the greatest exponent: 23

Uncommon prime factors: 13 , 3 , 5 , 17

Uncommon prime factors with the greatest exponent: 131, 31, 51, 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 = 23. 131. 31. 51. 171 = 26520


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