What is the Least Common Multiple of 72072 and 72084?

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 72072 and 72084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72072 and 72084, than apply into the LCM equation.

GCF(72072,72084) = 12
LCM(72072,72084) = ( 72072 × 72084) / 12
LCM(72072,72084) = 5195238048 / 12
LCM(72072,72084) = 432936504

Least Common Multiple (LCM) of 72072 and 72084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72072 and 72084. First we will calculate the prime factors of 72072 and 72084.

Prime Factorization of 72072

Prime Factorization of 72084

Now multiplying the highest exponent prime factors to calculate the LCM of 72072 and 72084.

LCM(72072,72084) = 2³ × 3² × 7¹ × 11¹ × 13¹ × 6007¹
LCM(72072,72084) = 432936504