What is the Least Common Multiple of 78085 and 78089?

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 78085 and 78089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78085 and 78089, than apply into the LCM equation.

GCF(78085,78089) = 1
LCM(78085,78089) = ( 78085 × 78089) / 1
LCM(78085,78089) = 6097579565 / 1
LCM(78085,78089) = 6097579565

Least Common Multiple (LCM) of 78085 and 78089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78085 and 78089. First we will calculate the prime factors of 78085 and 78089.

Prime Factorization of 78085

Prime Factorization of 78089

Now multiplying the highest exponent prime factors to calculate the LCM of 78085 and 78089.

LCM(78085,78089) = 5¹ × 7¹ × 23¹ × 97¹ × 11¹ × 31¹ × 229¹
LCM(78085,78089) = 6097579565