# What is the Least Common Multiple of 6 and 19?

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 6 and 19 is 114.

LCM(6,19) = 114

LCM Calculator and
and

## Least Common Multiple of 6 and 19 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6 and 19, than apply into the LCM equation.

GCF(6,19) = 1
LCM(6,19) = ( 6 × 19) / 1
LCM(6,19) = 114 / 1
LCM(6,19) = 114

## Least Common Multiple (LCM) of 6 and 19 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6 and 19. First we will calculate the prime factors of 6 and 19.

### Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:

6 = 21 × 31

### Prime Factorization of 19

Prime factors of 19 are 19. Prime factorization of 19 in exponential form is:

19 = 191

Now multiplying the highest exponent prime factors to calculate the LCM of 6 and 19.

LCM(6,19) = 21 × 31 × 191
LCM(6,19) = 114