What is the Least Common Multiple of 78114 and 78132?

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 78114 and 78132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78114 and 78132, than apply into the LCM equation.

GCF(78114,78132) = 6
LCM(78114,78132) = ( 78114 × 78132) / 6
LCM(78114,78132) = 6103203048 / 6
LCM(78114,78132) = 1017200508

Least Common Multiple (LCM) of 78114 and 78132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78114 and 78132. First we will calculate the prime factors of 78114 and 78132.

Prime Factorization of 78114

Prime Factorization of 78132

Now multiplying the highest exponent prime factors to calculate the LCM of 78114 and 78132.

LCM(78114,78132) = 2² × 3¹ × 47¹ × 277¹ × 17¹ × 383¹
LCM(78114,78132) = 1017200508