What is the Least Common Multiple of 79078 and 79093?

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 79078 and 79093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79078 and 79093, than apply into the LCM equation.

GCF(79078,79093) = 1
LCM(79078,79093) = ( 79078 × 79093) / 1
LCM(79078,79093) = 6254516254 / 1
LCM(79078,79093) = 6254516254

Least Common Multiple (LCM) of 79078 and 79093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79078 and 79093. First we will calculate the prime factors of 79078 and 79093.

Prime Factorization of 79078

Prime Factorization of 79093

Now multiplying the highest exponent prime factors to calculate the LCM of 79078 and 79093.

LCM(79078,79093) = 2¹ × 19¹ × 2081¹ × 7¹ × 11299¹
LCM(79078,79093) = 6254516254