What is the Least Common Multiple of 78858 and 78867?

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 78858 and 78867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78858 and 78867, than apply into the LCM equation.

GCF(78858,78867) = 9
LCM(78858,78867) = ( 78858 × 78867) / 9
LCM(78858,78867) = 6219293886 / 9
LCM(78858,78867) = 691032654

Least Common Multiple (LCM) of 78858 and 78867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78858 and 78867. First we will calculate the prime factors of 78858 and 78867.

Prime Factorization of 78858

Prime Factorization of 78867

Now multiplying the highest exponent prime factors to calculate the LCM of 78858 and 78867.

LCM(78858,78867) = 2¹ × 3³ × 13¹ × 337¹ × 23¹ × 127¹
LCM(78858,78867) = 691032654