What is the Least Common Multiple of 78184 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 78184 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 78184 and 78189, than apply into the LCM equation.

GCF(78184,78189) = 1
LCM(78184,78189) = ( 78184 × 78189) / 1
LCM(78184,78189) = 6113128776 / 1
LCM(78184,78189) = 6113128776

Least Common Multiple (LCM) of 78184 and 78189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78184 and 78189. First we will calculate the prime factors of 78184 and 78189.

Prime Factorization of 78184

Prime Factorization of 78189

Now multiplying the highest exponent prime factors to calculate the LCM of 78184 and 78189.

LCM(78184,78189) = 2³ × 29¹ × 337¹ × 3¹ × 67¹ × 389¹
LCM(78184,78189) = 6113128776