What is the Least Common Multiple of 6189 and 6205?

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 6205 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 6205, than apply into the LCM equation.

GCF(6189,6205) = 1
LCM(6189,6205) = ( 6189 × 6205) / 1
LCM(6189,6205) = 38402745 / 1
LCM(6189,6205) = 38402745

Least Common Multiple (LCM) of 6189 and 6205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6189 and 6205. First we will calculate the prime factors of 6189 and 6205.

Prime Factorization of 6189

Prime Factorization of 6205

Now multiplying the highest exponent prime factors to calculate the LCM of 6189 and 6205.

LCM(6189,6205) = 3¹ × 2063¹ × 5¹ × 17¹ × 73¹
LCM(6189,6205) = 38402745