What is the Least Common Multiple of 6171 and 6188?

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 6188 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 6188, than apply into the LCM equation.

GCF(6171,6188) = 17
LCM(6171,6188) = ( 6171 × 6188) / 17
LCM(6171,6188) = 38186148 / 17
LCM(6171,6188) = 2246244

Least Common Multiple (LCM) of 6171 and 6188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6171 and 6188. First we will calculate the prime factors of 6171 and 6188.

Prime Factorization of 6171

Prime Factorization of 6188

Now multiplying the highest exponent prime factors to calculate the LCM of 6171 and 6188.

LCM(6171,6188) = 3¹ × 11² × 17¹ × 2² × 7¹ × 13¹
LCM(6171,6188) = 2246244