# How do you find the LCD of #11/6# and #3/10#?

The LCD is

Find the LCD:

Write the multiples of each denominator. The lowest multiple that they have in common is the LCD.

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Write out the prime factors of the denominators of each fraction and find the product of the greater number of each factor.

LCD is the Lowest Common Denominator

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To find the least common denominator (LCD) of ( \frac{11}{6} ) and ( \frac{3}{10} ), you need to determine the least common multiple (LCM) of the denominators, which are 6 and 10.

Prime factorization:

- For 6: ( 6 = 2 \times 3 )
- For 10: ( 10 = 2 \times 5 )

Now, identify the highest power of each prime factor:

- ( 2^1 ) (appears in both 6 and 10)
- ( 3^1 ) (appears in 6 only)
- ( 5^1 ) (appears in 10 only)

Multiply these highest powers together to find the LCM: [ \text{LCM} = 2^1 \times 3^1 \times 5^1 = 2 \times 3 \times 5 = 30 ]

Therefore, the least common denominator (LCD) of ( \frac{11}{6} ) and ( \frac{3}{10} ) is 30.

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