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The only difference is that the least common denominator(LCD) is the least value that is divisible by the denominator values of the fractions while the least common multiple is the value that is divisible by the given values. For instance:

2/3 and 1/4

The LCD of these fractions is 12, which is the LCM of 3 and 4.

The LCM is actually 2 since:

2/3 = 21 x 3-1

¼ = 2-2 x 30

The LCM is usually formed by the available prime factors with maximum exponent. Compare these factors. Then, 2/3 has the largest exponent for prime 2 since 1 > -2. Select 2. Similarly, ¼ has the largest exponent for prime 3 since 0 > -1. Hence, the LCM is 2.

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11y ago
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11y ago

The same process is used to determine them. The only difference is the function of the number. With the LCD, the whole numbers are acting as part of a fraction.

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8y ago

Not much. The process to find them is the same. To find an LCM, compare at least two integers. To find an LCD, compare at least two integers that are denominators.

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Q: What is the difference between a lowest common denominator and a least common multiple?
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Related questions

What is the difference between the LCM and the LCD in math?

the lcd is the least common denominator but the LCM is the least common multiple.


What is the difference between a common denominator and the lowest common denominator?

It is possible for two fractions to have many common denominators. The smallest of these is the LCD.


What are the least common multiple of a denominator called?

The least common denominator.


What is the difference between a least common multiple and a least common denominator?

The Least (or Lowest) Common Multiple (LCM) is the smallest number that is a multiple of both numbers. For example: the LCM of 10 and 4 is 20, because both 10 and 4 go into 20 and 20 is the smallest number both 10 and 4 can go into. To be able to add or subtract fractions they must have the same denominator. If the denominators are different then the fractions must first be converted into equivalent fractions with a common denominator; any common denominator can be used, but by using the Least Common Multiple of the denominators as the new denominator it keeps the numbers smaller; this smallest denominator is known as the Least Common Denominator Thus the Least Common Denominator is the Least Common Multiple of the denominators of two (or more) fractions (used when adding or subtracting fractions with different denominators). As the Least Common Multiple is used most often with adding or subtracting fractions, it is often referred to as the Least Common Denominator (because the numbers being considered are usually denominators of fractions).


How do you find the common denominator of 3 fractions?

Pick two of the fractions and find the Least Common Multiple of those two denominators. Then take that number, and find the Least Common Multiple between that and the third denominator. This number will be the Least Common Denominator between the three fractions.If you don't care to find the Least common denominator, then just take the three denominators, and multiply them together.


How are a common denominator and a common multiple different?

They are essentially the same. A common denominator is the common multiple of a set of denominators of a set of fractions.


What a common multiple of two or more denominator?

That's a common denominator.


What is the least common denominator of two fractions?

The least common denominator is the least common multiple of the denominators of the fractions.


How is the least common denominator different from least common multiple?

a least common (LCD) denominator is a least common multiple (LCM); only it's a fraction and it's LCM is in the denominator's place.


How are a common denominator and a common multiple alike and different?

Both result from the comparison of integers. The process used to find them is the same. The only difference is in their function. One is a denominator, one isn't.


What makes the least common denominator the most efficient common denominator in addition o subtraction?

It is the lowest common multiple of the different denominators.


How are common denominator and common multiple alike?

Common denominators are common multiples of two or more denominators.