What is the Least Common Multiple of 78305 and 78319?

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 78305 and 78319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78305 and 78319, than apply into the LCM equation.

GCF(78305,78319) = 1
LCM(78305,78319) = ( 78305 × 78319) / 1
LCM(78305,78319) = 6132769295 / 1
LCM(78305,78319) = 6132769295

Least Common Multiple (LCM) of 78305 and 78319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78305 and 78319. First we will calculate the prime factors of 78305 and 78319.

Prime Factorization of 78305

Prime Factorization of 78319

Now multiplying the highest exponent prime factors to calculate the LCM of 78305 and 78319.

LCM(78305,78319) = 5¹ × 15661¹ × 17² × 271¹
LCM(78305,78319) = 6132769295