What is the Least Common Multiple of 19044 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 of 19044 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 19044 and 19049, than apply into the LCM equation.

GCF(19044,19049) = 1
LCM(19044,19049) = ( 19044 × 19049) / 1
LCM(19044,19049) = 362769156 / 1
LCM(19044,19049) = 362769156

Least Common Multiple (LCM) of 19044 and 19049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19044 and 19049. First we will calculate the prime factors of 19044 and 19049.

Prime Factorization of 19044

Prime Factorization of 19049

Now multiplying the highest exponent prime factors to calculate the LCM of 19044 and 19049.

LCM(19044,19049) = 2² × 3² × 23² × 43¹ × 443¹
LCM(19044,19049) = 362769156