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Calculate the Least Common Multiple or LCM of 52 and 1440

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The instructions to find the LCM of 52 and 1440 are the next:

1. Decompose all numbers into prime factors

522
262
1313
1
14402
7202
3602
1802
902
453
153
55
1

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

Prime factors of 52=22 . 13
Prime factors of 1440=25 . 32 . 5

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

Common prime factors: 2

Common prime factors with the greatest exponent: 25

Uncommon prime factors: 13 , 3 , 5

Uncommon prime factors with the greatest exponent: 131, 32, 51

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 = 25. 131. 32. 51 = 18720


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