What is the Least Common Multiple of 78315 and 78333?

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 78315 and 78333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78315 and 78333, than apply into the LCM equation.

GCF(78315,78333) = 3
LCM(78315,78333) = ( 78315 × 78333) / 3
LCM(78315,78333) = 6134648895 / 3
LCM(78315,78333) = 2044882965

Least Common Multiple (LCM) of 78315 and 78333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78315 and 78333. First we will calculate the prime factors of 78315 and 78333.

Prime Factorization of 78315

Prime Factorization of 78333

Now multiplying the highest exponent prime factors to calculate the LCM of 78315 and 78333.

LCM(78315,78333) = 3¹ × 5¹ × 23¹ × 227¹ × 26111¹
LCM(78315,78333) = 2044882965