What is the Least Common Multiple of 78390 and 78396?

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 78396 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 78396, than apply into the LCM equation.

GCF(78390,78396) = 6
LCM(78390,78396) = ( 78390 × 78396) / 6
LCM(78390,78396) = 6145462440 / 6
LCM(78390,78396) = 1024243740

Least Common Multiple (LCM) of 78390 and 78396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78390 and 78396. First we will calculate the prime factors of 78390 and 78396.

Prime Factorization of 78390

Prime Factorization of 78396

Now multiplying the highest exponent prime factors to calculate the LCM of 78390 and 78396.

LCM(78390,78396) = 2² × 3² × 5¹ × 13¹ × 67¹ × 47¹ × 139¹
LCM(78390,78396) = 1024243740