What is the Least Common Multiple of 19029 and 19044?

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 19029 and 19044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19029 and 19044, than apply into the LCM equation.

GCF(19029,19044) = 3
LCM(19029,19044) = ( 19029 × 19044) / 3
LCM(19029,19044) = 362388276 / 3
LCM(19029,19044) = 120796092

Least Common Multiple (LCM) of 19029 and 19044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19029 and 19044. First we will calculate the prime factors of 19029 and 19044.

Prime Factorization of 19029

Prime Factorization of 19044

Now multiplying the highest exponent prime factors to calculate the LCM of 19029 and 19044.

LCM(19029,19044) = 3² × 6343¹ × 2² × 23²
LCM(19029,19044) = 120796092