What is the Least Common Multiple of 19044 and 19055?

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 19055 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 19055, than apply into the LCM equation.

GCF(19044,19055) = 1
LCM(19044,19055) = ( 19044 × 19055) / 1
LCM(19044,19055) = 362883420 / 1
LCM(19044,19055) = 362883420

Least Common Multiple (LCM) of 19044 and 19055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19044 and 19055. First we will calculate the prime factors of 19044 and 19055.

Prime Factorization of 19044

Prime Factorization of 19055

Now multiplying the highest exponent prime factors to calculate the LCM of 19044 and 19055.

LCM(19044,19055) = 2² × 3² × 23² × 5¹ × 37¹ × 103¹
LCM(19044,19055) = 362883420