What is the Least Common Multiple of 72004 and 72019?

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 72004 and 72019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72004 and 72019, than apply into the LCM equation.

GCF(72004,72019) = 1
LCM(72004,72019) = ( 72004 × 72019) / 1
LCM(72004,72019) = 5185656076 / 1
LCM(72004,72019) = 5185656076

Least Common Multiple (LCM) of 72004 and 72019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72004 and 72019. First we will calculate the prime factors of 72004 and 72019.

Prime Factorization of 72004

Prime Factorization of 72019

Now multiplying the highest exponent prime factors to calculate the LCM of 72004 and 72019.

LCM(72004,72019) = 2² × 47¹ × 383¹ × 72019¹
LCM(72004,72019) = 5185656076