Definition:Common Denominator/Lowest

Definition

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 the lowest common denominator can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): common denominator
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): common denominator