# What is the Least Common Multiple of 8 and 18?

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.

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

LCM(8,18) = 72

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## 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