What is the Least Common Multiple of 15156 and 15171?

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 15156 and 15171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15156 and 15171, than apply into the LCM equation.

GCF(15156,15171) = 3
LCM(15156,15171) = ( 15156 × 15171) / 3
LCM(15156,15171) = 229931676 / 3
LCM(15156,15171) = 76643892

Least Common Multiple (LCM) of 15156 and 15171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15156 and 15171. First we will calculate the prime factors of 15156 and 15171.

Prime Factorization of 15156

Prime Factorization of 15171

Now multiplying the highest exponent prime factors to calculate the LCM of 15156 and 15171.

LCM(15156,15171) = 2² × 3² × 421¹ × 13¹ × 389¹
LCM(15156,15171) = 76643892