What is the Least Common Multiple of 78278 and 78294?

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 78278 and 78294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78278 and 78294, than apply into the LCM equation.

GCF(78278,78294) = 2
LCM(78278,78294) = ( 78278 × 78294) / 2
LCM(78278,78294) = 6128697732 / 2
LCM(78278,78294) = 3064348866

Least Common Multiple (LCM) of 78278 and 78294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78278 and 78294. First we will calculate the prime factors of 78278 and 78294.

Prime Factorization of 78278

Prime Factorization of 78294

Now multiplying the highest exponent prime factors to calculate the LCM of 78278 and 78294.

LCM(78278,78294) = 2¹ × 39139¹ × 3¹ × 13049¹
LCM(78278,78294) = 3064348866