What is the Least Common Multiple of 6189 and 6207?

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 6207 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 6207, than apply into the LCM equation.

GCF(6189,6207) = 3
LCM(6189,6207) = ( 6189 × 6207) / 3
LCM(6189,6207) = 38415123 / 3
LCM(6189,6207) = 12805041

Least Common Multiple (LCM) of 6189 and 6207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6189 and 6207. First we will calculate the prime factors of 6189 and 6207.

Prime Factorization of 6189

Prime Factorization of 6207

Now multiplying the highest exponent prime factors to calculate the LCM of 6189 and 6207.

LCM(6189,6207) = 3¹ × 2063¹ × 2069¹
LCM(6189,6207) = 12805041