What is the Least Common Multiple of 36168 and 36179?

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 36179 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 36179, than apply into the LCM equation.

GCF(36168,36179) = 11
LCM(36168,36179) = ( 36168 × 36179) / 11
LCM(36168,36179) = 1308522072 / 11
LCM(36168,36179) = 118956552

Least Common Multiple (LCM) of 36168 and 36179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36168 and 36179. First we will calculate the prime factors of 36168 and 36179.

Prime Factorization of 36168

Prime Factorization of 36179

Now multiplying the highest exponent prime factors to calculate the LCM of 36168 and 36179.

LCM(36168,36179) = 2³ × 3¹ × 11² × 137¹ × 13¹ × 23¹
LCM(36168,36179) = 118956552