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Calculate the Least Common Multiple or LCM of 592 and 1000

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The instructions to find the LCM of 592 and 1000 are the next:

1. Decompose all numbers into prime factors

5922
2962
1482
742
3737
1
10002
5002
2502
1255
255
55
1

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

Prime factors of 592=24 . 37
Prime factors of 1000=23 . 53

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: 37 , 5

Uncommon prime factors with the greatest exponent: 371, 53

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. 371. 53 = 74000


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