Calculate the Least Common Multiple or LCM of 2332 and 3556
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The instructions to find the LCM of 2332 and 3556 are the next:
1. Decompose all numbers into prime factors
2332 | 2 |
1166 | 2 |
583 | 11 |
53 | 53 |
1 |
3556 | 2 |
1778 | 2 |
889 | 7 |
127 | 127 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 2332 | = | 22 . 11 . 53 |
Prime factors of 3556 | = | 22 . 7 . 127 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2
Common prime factors with the greatest exponent: 22
Uncommon prime factors: 11 , 53 , 7 , 127
Uncommon prime factors with the greatest exponent: 111, 531, 71, 1271
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 = 22. 111. 531. 71. 1271 = 2073148
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