What is the Least Common Multiple of 36174 and 36194?

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 36174 and 36194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36174 and 36194, than apply into the LCM equation.

GCF(36174,36194) = 2
LCM(36174,36194) = ( 36174 × 36194) / 2
LCM(36174,36194) = 1309281756 / 2
LCM(36174,36194) = 654640878

Least Common Multiple (LCM) of 36174 and 36194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36174 and 36194. First we will calculate the prime factors of 36174 and 36194.

Prime Factorization of 36174

Prime Factorization of 36194

Now multiplying the highest exponent prime factors to calculate the LCM of 36174 and 36194.

LCM(36174,36194) = 2¹ × 3¹ × 6029¹ × 18097¹
LCM(36174,36194) = 654640878