What is the Least Common Multiple of 36156 and 36174?

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 36156 and 36174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36156 and 36174, than apply into the LCM equation.

GCF(36156,36174) = 6
LCM(36156,36174) = ( 36156 × 36174) / 6
LCM(36156,36174) = 1307907144 / 6
LCM(36156,36174) = 217984524

Least Common Multiple (LCM) of 36156 and 36174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36156 and 36174. First we will calculate the prime factors of 36156 and 36174.

Prime Factorization of 36156

Prime Factorization of 36174

Now multiplying the highest exponent prime factors to calculate the LCM of 36156 and 36174.

LCM(36156,36174) = 2² × 3¹ × 23¹ × 131¹ × 6029¹
LCM(36156,36174) = 217984524