GCF and LCM Calculator Logo

What is the Least Common Multiple of 19044 and 19056?

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 19044 and 19056 is 30241872.

LCM(19044,19056) = 30241872

LCM Calculator and
and

Least Common Multiple of 19044 and 19056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19044 and 19056, than apply into the LCM equation.

GCF(19044,19056) = 12
LCM(19044,19056) = ( 19044 × 19056) / 12
LCM(19044,19056) = 362902464 / 12
LCM(19044,19056) = 30241872

Least Common Multiple (LCM) of 19044 and 19056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19044 and 19056. First we will calculate the prime factors of 19044 and 19056.

Prime Factorization of 19044

Prime factors of 19044 are 2, 3, 23. Prime factorization of 19044 in exponential form is:

19044 = 22 × 32 × 232

Prime Factorization of 19056

Prime factors of 19056 are 2, 3, 397. Prime factorization of 19056 in exponential form is:

19056 = 24 × 31 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 19044 and 19056.

LCM(19044,19056) = 24 × 32 × 232 × 3971
LCM(19044,19056) = 30241872