What is the Least Common Multiple of 36168 and 36186?

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 36168 and 36186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36168 and 36186, than apply into the LCM equation.

GCF(36168,36186) = 6
LCM(36168,36186) = ( 36168 × 36186) / 6
LCM(36168,36186) = 1308775248 / 6
LCM(36168,36186) = 218129208

Least Common Multiple (LCM) of 36168 and 36186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36168 and 36186. First we will calculate the prime factors of 36168 and 36186.

Prime Factorization of 36168

Prime Factorization of 36186

Now multiplying the highest exponent prime factors to calculate the LCM of 36168 and 36186.

LCM(36168,36186) = 2³ × 3¹ × 11¹ × 137¹ × 37¹ × 163¹
LCM(36168,36186) = 218129208