What is the Least Common Multiple of 78174 and 78189?

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 78174 and 78189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78174 and 78189, than apply into the LCM equation.

GCF(78174,78189) = 3
LCM(78174,78189) = ( 78174 × 78189) / 3
LCM(78174,78189) = 6112346886 / 3
LCM(78174,78189) = 2037448962

Least Common Multiple (LCM) of 78174 and 78189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78174 and 78189. First we will calculate the prime factors of 78174 and 78189.

Prime Factorization of 78174

Prime Factorization of 78189

Now multiplying the highest exponent prime factors to calculate the LCM of 78174 and 78189.

LCM(78174,78189) = 2¹ × 3² × 43¹ × 101¹ × 67¹ × 389¹
LCM(78174,78189) = 2037448962