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Calculate the Least Common Multiple or LCM of 1296 and 2320

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The instructions to find the LCM of 1296 and 2320 are the next:

1. Decompose all numbers into prime factors

12962
6482
3242
1622
813
273
93
33
1
23202
11602
5802
2902
1455
2929
1

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

Prime factors of 1296=24 . 34
Prime factors of 2320=24 . 5 . 29

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

Common prime factors: 2

Common prime factors with the greatest exponent: 24

Uncommon prime factors: 3 , 5 , 29

Uncommon prime factors with the greatest exponent: 34, 51, 291

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 = 24. 34. 51. 291 = 187920


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