What is the Least Common Multiple of 78315 and 78328?

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 78328 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 78328, than apply into the LCM equation.

GCF(78315,78328) = 1
LCM(78315,78328) = ( 78315 × 78328) / 1
LCM(78315,78328) = 6134257320 / 1
LCM(78315,78328) = 6134257320

Least Common Multiple (LCM) of 78315 and 78328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78315 and 78328. First we will calculate the prime factors of 78315 and 78328.

Prime Factorization of 78315

Prime Factorization of 78328

Now multiplying the highest exponent prime factors to calculate the LCM of 78315 and 78328.

LCM(78315,78328) = 3¹ × 5¹ × 23¹ × 227¹ × 2³ × 9791¹
LCM(78315,78328) = 6134257320