What is the Least Common Multiple of 6189 and 6195?

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 6189 and 6195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6189 and 6195, than apply into the LCM equation.

GCF(6189,6195) = 3
LCM(6189,6195) = ( 6189 × 6195) / 3
LCM(6189,6195) = 38340855 / 3
LCM(6189,6195) = 12780285

Least Common Multiple (LCM) of 6189 and 6195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6189 and 6195. First we will calculate the prime factors of 6189 and 6195.

Prime Factorization of 6189

Prime Factorization of 6195

Now multiplying the highest exponent prime factors to calculate the LCM of 6189 and 6195.

LCM(6189,6195) = 3¹ × 2063¹ × 5¹ × 7¹ × 59¹
LCM(6189,6195) = 12780285