What is the Least Common Multiple of 6156 and 6171?

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 6156 and 6171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6156 and 6171, than apply into the LCM equation.

GCF(6156,6171) = 3
LCM(6156,6171) = ( 6156 × 6171) / 3
LCM(6156,6171) = 37988676 / 3
LCM(6156,6171) = 12662892

Least Common Multiple (LCM) of 6156 and 6171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6156 and 6171. First we will calculate the prime factors of 6156 and 6171.

Prime Factorization of 6156

Prime Factorization of 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 6156 and 6171.

LCM(6156,6171) = 2² × 3⁴ × 19¹ × 11² × 17¹
LCM(6156,6171) = 12662892