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- anonymous

i have not done LCD for 7 years. im still reading about it and i still dont get it. can some one help me?

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- anonymous

- katieb

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- anonymous

The LCD of two numbers is the smallest number that both multiply into by some other number.

- anonymous

ok. so what would the lcd of 20 be? for example

- anonymous

Find an example in a book. It usually involves two numbers

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- anonymous

LCD is between two or more numbers.

- anonymous

LCD of 5 and 3 is 15, because that is the smalled number both 5 and 3 go into.

- anonymous

ok. i get it now. thanks so much:)

- anonymous

here is how you find it for big numbers: factor each number into prime factors, then take each prime to the highest power you see in any one number. 5 and 3 are both primes, so just multiply.
but for say 8 and 12 you would write \[8=2^3\] \[12=2^2\times 3\] so least common multiple is \[2^3\times 3 = 24\] of course you might have just seen the 24, but for 84 and 98 you would probably not see the answer.
\[84=2^2\times 3 \times 7\]
\[98=2 \times 7^2\]
least common multiple is
\[2^2 \times 3 \times 7^2 = 588\]

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