GCF and LCM Calculator Logo

Least Common Multiple of 8 and 18

Least common multiple (LCM) of 8 and 18 is 72.

LCM(8,18) = 72

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

LCM Calculator and

Least Common Multiple of 8 and 18 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8 and 18, than apply into the LCM equation.

GCF(8,18) = 2
LCM(8,18) = ( 8 × 18) / 2
LCM(8,18) = 144 / 2
LCM(8,18) = 72

Least Common Multiple (LCM) of 8 and 18 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8 and 18. First we will calculate the prime factors of 8 and 18.

Prime Factorization of 8

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 23

Prime Factorization of 18

Prime factors of 18 are 2, 3. Prime factorization of 18 in exponential form is:

18 = 21 × 32

Now multiplying the highest exponent prime factors to calculate the LCM of 8 and 18.

LCM(8,18) = 23 × 32
LCM(8,18) = 72

Recent Comments
dac 2019-09-10 09:48:38

nice very helpful

Please share your comments

This website uses cookies to collect information about how you interact with our website. We use this information in order to improve and customize your browsing experience and for analytics and metrics about our visitors. To find out more about the cookies we use, see our Privacy Policy.