Calculate the Least Common Multiple or LCM of 1585 and 4174
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The instructions to find the LCM of 1585 and 4174 are the next:
1. Decompose all numbers into prime factors
1585 | 5 |
317 | 317 |
1 |
4174 | 2 |
2087 | 2087 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 1585 | = | 5 . 317 |
Prime factors of 4174 | = | 2 . 2087 |
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: 5 , 317 , 2 , 2087
Uncommon prime factors with the greatest exponent: 51, 3171, 21, 20871
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 = 51. 3171. 21. 20871 = 6615790
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