What is the Least Common Multiple of 78390 and 78399?

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 78390 and 78399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78390 and 78399, than apply into the LCM equation.

GCF(78390,78399) = 9
LCM(78390,78399) = ( 78390 × 78399) / 9
LCM(78390,78399) = 6145697610 / 9
LCM(78390,78399) = 682855290

Least Common Multiple (LCM) of 78390 and 78399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78390 and 78399. First we will calculate the prime factors of 78390 and 78399.

Prime Factorization of 78390

Prime Factorization of 78399

Now multiplying the highest exponent prime factors to calculate the LCM of 78390 and 78399.

LCM(78390,78399) = 2¹ × 3² × 5¹ × 13¹ × 67¹ × 31¹ × 281¹
LCM(78390,78399) = 682855290