Definition:Common Denominator/Lowest

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Let $\dfrac a b$ and $\dfrac c d$ be fractions.

The lowest common denominator of $\dfrac a b$ and $\dfrac c d$ is the lowest common multiple of the denominators of $\dfrac a b$ and $\dfrac c d$:

$\lcm \set {b, d}$

Also see

  • Results about common denominators can be found here.