What is the Least Common Multiple of 72066 and 72072?

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 72066 and 72072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72066 and 72072, than apply into the LCM equation.

GCF(72066,72072) = 6
LCM(72066,72072) = ( 72066 × 72072) / 6
LCM(72066,72072) = 5193940752 / 6
LCM(72066,72072) = 865656792

Least Common Multiple (LCM) of 72066 and 72072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72066 and 72072. First we will calculate the prime factors of 72066 and 72072.

Prime Factorization of 72066

Prime Factorization of 72072

Now multiplying the highest exponent prime factors to calculate the LCM of 72066 and 72072.

LCM(72066,72072) = 2³ × 3² × 12011¹ × 7¹ × 11¹ × 13¹
LCM(72066,72072) = 865656792