# Least Common Multiple of 18 and 16

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 18 and 16 is 144.

LCM(18,16) = 144

LCM Calculator and

## Least Common Multiple of 18 and 16 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18 and 16, than apply into the LCM equation.

GCF(18,16) = 2
LCM(18,16) = ( 18 × 16) / 2
LCM(18,16) = 288 / 2
LCM(18,16) = 144

## Least Common Multiple (LCM) of 18 and 16 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18 and 16. First we will calculate the prime factors of 18 and 16.

### Prime Factorization of 18

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

18 = 21 × 32

### Prime Factorization of 16

Prime factors of 16 are 2. Prime factorization of 16 in exponential form is:

16 = 24

Now multiplying the highest exponent prime factors to calculate the LCM of 18 and 16.

LCM(18,16) = 24 × 32
LCM(18,16) = 144