GCF and LCM Calculator Logo

What is the Least Common Multiple of 19031 and 19039?

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 19031 and 19039 is 362331209.

LCM(19031,19039) = 362331209

LCM Calculator and
and

Least Common Multiple of 19031 and 19039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19031 and 19039, than apply into the LCM equation.

GCF(19031,19039) = 1
LCM(19031,19039) = ( 19031 × 19039) / 1
LCM(19031,19039) = 362331209 / 1
LCM(19031,19039) = 362331209

Least Common Multiple (LCM) of 19031 and 19039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19031 and 19039. First we will calculate the prime factors of 19031 and 19039.

Prime Factorization of 19031

Prime factors of 19031 are 19031. Prime factorization of 19031 in exponential form is:

19031 = 190311

Prime Factorization of 19039

Prime factors of 19039 are 79, 241. Prime factorization of 19039 in exponential form is:

19039 = 791 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 19031 and 19039.

LCM(19031,19039) = 190311 × 791 × 2411
LCM(19031,19039) = 362331209