What is the Least Common Multiple of 36198 and 36213?

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 36198 and 36213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36198 and 36213, than apply into the LCM equation.

GCF(36198,36213) = 3
LCM(36198,36213) = ( 36198 × 36213) / 3
LCM(36198,36213) = 1310838174 / 3
LCM(36198,36213) = 436946058

Least Common Multiple (LCM) of 36198 and 36213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36198 and 36213. First we will calculate the prime factors of 36198 and 36213.

Prime Factorization of 36198

Prime Factorization of 36213

Now multiplying the highest exponent prime factors to calculate the LCM of 36198 and 36213.

LCM(36198,36213) = 2¹ × 3² × 2011¹ × 12071¹
LCM(36198,36213) = 436946058