What is the Least Common Multiple of 78168 and 78178?

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 78178 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 78178, than apply into the LCM equation.

GCF(78168,78178) = 2
LCM(78168,78178) = ( 78168 × 78178) / 2
LCM(78168,78178) = 6111017904 / 2
LCM(78168,78178) = 3055508952

Least Common Multiple (LCM) of 78168 and 78178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78168 and 78178. First we will calculate the prime factors of 78168 and 78178.

Prime Factorization of 78168

Prime Factorization of 78178

Now multiplying the highest exponent prime factors to calculate the LCM of 78168 and 78178.

LCM(78168,78178) = 2³ × 3¹ × 3257¹ × 39089¹
LCM(78168,78178) = 3055508952