What is the Least Common Multiple of 6171 and 6187?

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 6171 and 6187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6171 and 6187, than apply into the LCM equation.

GCF(6171,6187) = 1
LCM(6171,6187) = ( 6171 × 6187) / 1
LCM(6171,6187) = 38179977 / 1
LCM(6171,6187) = 38179977

Least Common Multiple (LCM) of 6171 and 6187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6171 and 6187. First we will calculate the prime factors of 6171 and 6187.

Prime Factorization of 6171

Prime Factorization of 6187

Now multiplying the highest exponent prime factors to calculate the LCM of 6171 and 6187.

LCM(6171,6187) = 3¹ × 11² × 17¹ × 23¹ × 269¹
LCM(6171,6187) = 38179977