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Calculate the Least Common Multiple or LCM of 1024 and 2024

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The instructions to find the LCM of 1024 and 2024 are the next:

1. Decompose all numbers into prime factors

10242
5122
2562
1282
642
322
162
82
42
22
1
20242
10122
5062
25311
2323
1

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

Prime factors of 1024=210
Prime factors of 2024=23 . 11 . 23

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

Common prime factors: 2

Common prime factors with the greatest exponent: 210

Uncommon prime factors: 11 , 23

Uncommon prime factors with the greatest exponent: 111, 231

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 = 210. 111. 231 = 259072


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