What is the Least Common Multiple of 78675 and 78691?

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 78675 and 78691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78675 and 78691, than apply into the LCM equation.

GCF(78675,78691) = 1
LCM(78675,78691) = ( 78675 × 78691) / 1
LCM(78675,78691) = 6191014425 / 1
LCM(78675,78691) = 6191014425

Least Common Multiple (LCM) of 78675 and 78691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78675 and 78691. First we will calculate the prime factors of 78675 and 78691.

Prime Factorization of 78675

Prime Factorization of 78691

Now multiplying the highest exponent prime factors to calculate the LCM of 78675 and 78691.

LCM(78675,78691) = 3¹ × 5² × 1049¹ × 78691¹
LCM(78675,78691) = 6191014425