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To get the Least Common Multiple (LCM) of 289 and 45 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:
|289: || || || ||17||17|
|45: ||3||3||5|| || |
The Least Common Multiple (LCM) is: 3 x 3 x 5 x 17 x 17 = 13005