a common denominator
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No only when adding or subtracting fractions a common denominator is needed
The Lowest Common Denominator is needed when adding or subtracting fractions.
When adding or subtracting fractions with different denominators the lowest common denominator is needed and is found by finding the lowest common multiple of the denominators.
In more than 40 years as a mathematician, I have never needed to do so.
A common denominator is required to add or subtract fractions and not otherwise.