GCF and LCM Calculator Logo

What is the Least Common Multiple of 19033 and 19049?

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 19033 and 19049 is 362559617.

LCM(19033,19049) = 362559617

LCM Calculator and
and

Least Common Multiple of 19033 and 19049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19033 and 19049, than apply into the LCM equation.

GCF(19033,19049) = 1
LCM(19033,19049) = ( 19033 × 19049) / 1
LCM(19033,19049) = 362559617 / 1
LCM(19033,19049) = 362559617

Least Common Multiple (LCM) of 19033 and 19049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19033 and 19049. First we will calculate the prime factors of 19033 and 19049.

Prime Factorization of 19033

Prime factors of 19033 are 7, 2719. Prime factorization of 19033 in exponential form is:

19033 = 71 × 27191

Prime Factorization of 19049

Prime factors of 19049 are 43, 443. Prime factorization of 19049 in exponential form is:

19049 = 431 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 19033 and 19049.

LCM(19033,19049) = 71 × 27191 × 431 × 4431
LCM(19033,19049) = 362559617