# What is the Least Common Multiple of 4 and 8?

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 4 and 8 is 8.

LCM(4,8) = 8

LCM Calculator and
and

## Least Common Multiple of 4 and 8 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4 and 8, than apply into the LCM equation.

GCF(4,8) = 4
LCM(4,8) = ( 4 × 8) / 4
LCM(4,8) = 32 / 4
LCM(4,8) = 8

## Least Common Multiple (LCM) of 4 and 8 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4 and 8. First we will calculate the prime factors of 4 and 8.

### Prime Factorization of 4

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 22

### Prime Factorization of 8

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

8 = 23

Now multiplying the highest exponent prime factors to calculate the LCM of 4 and 8.

LCM(4,8) = 23
LCM(4,8) = 8