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Calculate the Least Common Multiple or LCM of 446 and 669

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The instructions to find the LCM of 446 and 669 are the next:

1. Decompose all numbers into prime factors

4462
223223
1
6693
223223
1

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

Prime factors of 446=2 . 223
Prime factors of 669=3 . 223

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

Common prime factors: 223

Common prime factors with the greatest exponent: 2231

Uncommon prime factors: 2 , 3

Uncommon prime factors with the greatest exponent: 21, 31

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 = 2231. 21. 31 = 1338


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