What is the Least Common Multiple of 78150 and 78168?

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 78150 and 78168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78150 and 78168, than apply into the LCM equation.

GCF(78150,78168) = 6
LCM(78150,78168) = ( 78150 × 78168) / 6
LCM(78150,78168) = 6108829200 / 6
LCM(78150,78168) = 1018138200

Least Common Multiple (LCM) of 78150 and 78168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78150 and 78168. First we will calculate the prime factors of 78150 and 78168.

Prime Factorization of 78150

Prime Factorization of 78168

Now multiplying the highest exponent prime factors to calculate the LCM of 78150 and 78168.

LCM(78150,78168) = 2³ × 3¹ × 5² × 521¹ × 3257¹
LCM(78150,78168) = 1018138200