What is the Least Common Multiple of 19044 and 19053?

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 of 19044 and 19053 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 19053, than apply into the LCM equation.

GCF(19044,19053) = 9
LCM(19044,19053) = ( 19044 × 19053) / 9
LCM(19044,19053) = 362845332 / 9
LCM(19044,19053) = 40316148

Least Common Multiple (LCM) of 19044 and 19053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19044 and 19053. First we will calculate the prime factors of 19044 and 19053.

Prime Factorization of 19044

Prime Factorization of 19053

Now multiplying the highest exponent prime factors to calculate the LCM of 19044 and 19053.

LCM(19044,19053) = 2² × 3² × 23² × 29¹ × 73¹
LCM(19044,19053) = 40316148