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Calculate the Least Common Multiple or LCM of 256 and 625

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The instructions to find the LCM of 256 and 625 are the next:

1. Decompose all numbers into prime factors

2562
1282
642
322
162
82
42
22
1
6255
1255
255
55
1

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

Prime factors of 256=28
Prime factors of 625=54

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

Common prime factors: None

Common prime factors with the greatest exponent: None

Uncommon prime factors: 2 , 5

Uncommon prime factors with the greatest exponent: 28, 54

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 = 28. 54 = 160000


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