What is the Least Common Multiple of 78168 and 78180?

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 78168 and 78180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78168 and 78180, than apply into the LCM equation.

GCF(78168,78180) = 12
LCM(78168,78180) = ( 78168 × 78180) / 12
LCM(78168,78180) = 6111174240 / 12
LCM(78168,78180) = 509264520

Least Common Multiple (LCM) of 78168 and 78180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78168 and 78180. First we will calculate the prime factors of 78168 and 78180.

Prime Factorization of 78168

Prime Factorization of 78180

Now multiplying the highest exponent prime factors to calculate the LCM of 78168 and 78180.

LCM(78168,78180) = 2³ × 3¹ × 3257¹ × 5¹ × 1303¹
LCM(78168,78180) = 509264520