Calculate the Least Common Multiple or LCM of 2325 and 2675
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The instructions to find the LCM of 2325 and 2675 are the next:
1. Decompose all numbers into prime factors
2325 | 3 |
775 | 5 |
155 | 5 |
31 | 31 |
1 |
2675 | 5 |
535 | 5 |
107 | 107 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 2325 | = | 3 . 52 . 31 |
Prime factors of 2675 | = | 52 . 107 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 5
Common prime factors with the greatest exponent: 52
Uncommon prime factors: 3 , 31 , 107
Uncommon prime factors with the greatest exponent: 31, 311, 1071
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 = 52. 31. 311. 1071 = 248775
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