GCF and LCM Calculator Logo

What is the Least Common Multiple of 19024 and 19032?

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 19024 and 19032 is 45258096.

LCM(19024,19032) = 45258096

LCM Calculator and
and

Least Common Multiple of 19024 and 19032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19024 and 19032, than apply into the LCM equation.

GCF(19024,19032) = 8
LCM(19024,19032) = ( 19024 × 19032) / 8
LCM(19024,19032) = 362064768 / 8
LCM(19024,19032) = 45258096

Least Common Multiple (LCM) of 19024 and 19032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19024 and 19032. First we will calculate the prime factors of 19024 and 19032.

Prime Factorization of 19024

Prime factors of 19024 are 2, 29, 41. Prime factorization of 19024 in exponential form is:

19024 = 24 × 291 × 411

Prime Factorization of 19032

Prime factors of 19032 are 2, 3, 13, 61. Prime factorization of 19032 in exponential form is:

19032 = 23 × 31 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 19024 and 19032.

LCM(19024,19032) = 24 × 291 × 411 × 31 × 131 × 611
LCM(19024,19032) = 45258096