What is the Least Common Multiple of 72003 and 72018?

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 72003 and 72018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72003 and 72018, than apply into the LCM equation.

GCF(72003,72018) = 3
LCM(72003,72018) = ( 72003 × 72018) / 3
LCM(72003,72018) = 5185512054 / 3
LCM(72003,72018) = 1728504018

Least Common Multiple (LCM) of 72003 and 72018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72003 and 72018. First we will calculate the prime factors of 72003 and 72018.

Prime Factorization of 72003

Prime Factorization of 72018

Now multiplying the highest exponent prime factors to calculate the LCM of 72003 and 72018.

LCM(72003,72018) = 3² × 24001¹ × 2¹ × 4001¹
LCM(72003,72018) = 1728504018