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The lowest common denominator or least common
denominator (abbreviated LCD) is the least
common
multiple of a set of fractions. It is the smallest number
that both denominators can divid by evenly.
Lowest common denominator
Example: The LCD of the fraction below is 36
36 because the least common
multiple of 12 and 18 is 36 or the
smallest number that both 12 and
18 can divide by evenly (with no
remainder.
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Finding Lowest Common Denominator (LCD)
LCD
Then smallest number that is the same
multiples of 12:    12, 24, 36, 48, 60
multiples of 18:    18, 36, 54, 72, 90
multiply the top and
bottom by 3
multiply the top and
bottom by 2
fractions with same denominator
the new fraction
x
x
x
x
These two fractions can know be added or subtracted
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