What is the Least Common Multiple of 72360 and 72366?

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 72360 and 72366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72360 and 72366, than apply into the LCM equation.

GCF(72360,72366) = 6
LCM(72360,72366) = ( 72360 × 72366) / 6
LCM(72360,72366) = 5236403760 / 6
LCM(72360,72366) = 872733960

Least Common Multiple (LCM) of 72360 and 72366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72360 and 72366. First we will calculate the prime factors of 72360 and 72366.

Prime Factorization of 72360

Prime Factorization of 72366

Now multiplying the highest exponent prime factors to calculate the LCM of 72360 and 72366.

LCM(72360,72366) = 2³ × 3³ × 5¹ × 67¹ × 7¹ × 1723¹
LCM(72360,72366) = 872733960