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
446 | 2 |
223 | 223 |
1 |
669 | 3 |
223 | 223 |
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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