What is the Least Common Multiple of 78108 and 78114?

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 78108 and 78114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78108 and 78114, than apply into the LCM equation.

GCF(78108,78114) = 6
LCM(78108,78114) = ( 78108 × 78114) / 6
LCM(78108,78114) = 6101328312 / 6
LCM(78108,78114) = 1016888052

Least Common Multiple (LCM) of 78108 and 78114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78108 and 78114. First we will calculate the prime factors of 78108 and 78114.

Prime Factorization of 78108

Prime Factorization of 78114

Now multiplying the highest exponent prime factors to calculate the LCM of 78108 and 78114.

LCM(78108,78114) = 2² × 3¹ × 23¹ × 283¹ × 47¹ × 277¹
LCM(78108,78114) = 1016888052