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Lowest common denominator : ウィキペディア英語版
Lowest common denominator

In mathematics, the lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions.
== Description ==
The least common denominator of a set of fractions is the least number that is a multiple of all the denominators: their least common multiple.
The product of the denominators is always a common denominator, as in:
: \frac+\frac\;=\;\frac+\frac\;=\;\frac
but it's not always the least common denominator, as in:
: \frac+\frac\;=\;\frac+\frac\;=\;\frac
Here, 36 is the least common multiple of 12 and 18. Their product, 216, is also a common denominator, but calculating with that denominator involves larger numbers: \frac+\frac=\frac+\frac=\frac.
With variables rather than numbers, the same principles apply:〔
: \frac+\frac\;=\;\frac+\frac\;=\;\frac
Some methods of calculating the LCD are at Least common multiple#Computing the least common multiple.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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