# Least Common Multiple of 8 and 20

Least common multiple (LCM) of 8 and 20 is 40.

LCM(8,20) = 40

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 20 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 20, than apply into the LCM equation.

GCF(8,20) = 4
LCM(8,20) = ( 8 × 20) / 4
LCM(8,20) = 160 / 4
LCM(8,20) = 40

## Least Common Multiple (LCM) of 8 and 20 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8 and 20. First we will calculate the prime factors of 8 and 20.

### Prime Factorization of 8

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

8 = 23

### Prime Factorization of 20

Prime factors of 20 are 2, 5. Prime factorization of 20 in exponential form is:

20 = 22 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 8 and 20.

LCM(8,20) = 23 × 51
LCM(8,20) = 40