What is the Least Common Multiple of 45004 and 45012?

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 45004 and 45012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45004 and 45012, than apply into the LCM equation.

GCF(45004,45012) = 4
LCM(45004,45012) = ( 45004 × 45012) / 4
LCM(45004,45012) = 2025720048 / 4
LCM(45004,45012) = 506430012

Least Common Multiple (LCM) of 45004 and 45012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45004 and 45012. First we will calculate the prime factors of 45004 and 45012.

Prime Factorization of 45004

Prime Factorization of 45012

Now multiplying the highest exponent prime factors to calculate the LCM of 45004 and 45012.

LCM(45004,45012) = 2² × 11251¹ × 3¹ × 11² × 31¹
LCM(45004,45012) = 506430012