What is the Least Common Multiple of 78189 and 78209?

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 78189 and 78209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78189 and 78209, than apply into the LCM equation.

GCF(78189,78209) = 1
LCM(78189,78209) = ( 78189 × 78209) / 1
LCM(78189,78209) = 6115083501 / 1
LCM(78189,78209) = 6115083501

Least Common Multiple (LCM) of 78189 and 78209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78189 and 78209. First we will calculate the prime factors of 78189 and 78209.

Prime Factorization of 78189

Prime Factorization of 78209

Now multiplying the highest exponent prime factors to calculate the LCM of 78189 and 78209.

LCM(78189,78209) = 3¹ × 67¹ × 389¹ × 197¹ × 397¹
LCM(78189,78209) = 6115083501