What is the Least Common Multiple of 12156 and 12171?

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 12156 and 12171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12156 and 12171, than apply into the LCM equation.

GCF(12156,12171) = 3
LCM(12156,12171) = ( 12156 × 12171) / 3
LCM(12156,12171) = 147950676 / 3
LCM(12156,12171) = 49316892

Least Common Multiple (LCM) of 12156 and 12171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12156 and 12171. First we will calculate the prime factors of 12156 and 12171.

Prime Factorization of 12156

Prime Factorization of 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 12156 and 12171.

LCM(12156,12171) = 2² × 3¹ × 1013¹ × 4057¹
LCM(12156,12171) = 49316892