The meet operation is given by the greatest common divisor and the join operation by the least common multiple.
In general, two elements in a commutative ring can have no least common multiple or more than one.
A political solution has been agreed which has always come down to the highest common multiple of catch whereas the objective should always have been the lowest common denominator.
Government by committee brings forth the lowest common multiple of opinion.
It seeks to find the lowest common denominator instead of the highest common multiple.
That would be either the highest common multiple or the lowest common something else.
My complaint is that instead of getting the highest common multiple we achieved the lowest common denominator.
The balance represented the outcome of long and difficult negotiations and reflected the lowest common multiple of what the participants at that time would accept.