What is the Least Common Multiple of 18168 and 18179?

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 18168 and 18179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18168 and 18179, than apply into the LCM equation.

GCF(18168,18179) = 1
LCM(18168,18179) = ( 18168 × 18179) / 1
LCM(18168,18179) = 330276072 / 1
LCM(18168,18179) = 330276072

Least Common Multiple (LCM) of 18168 and 18179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18168 and 18179. First we will calculate the prime factors of 18168 and 18179.

Prime Factorization of 18168

Prime Factorization of 18179

Now multiplying the highest exponent prime factors to calculate the LCM of 18168 and 18179.

LCM(18168,18179) = 2³ × 3¹ × 757¹ × 7³ × 53¹
LCM(18168,18179) = 330276072