What is the Least Common Multiple of 16173 and 16179?

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 16173 and 16179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16173 and 16179, than apply into the LCM equation.

GCF(16173,16179) = 3
LCM(16173,16179) = ( 16173 × 16179) / 3
LCM(16173,16179) = 261662967 / 3
LCM(16173,16179) = 87220989

Least Common Multiple (LCM) of 16173 and 16179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16173 and 16179. First we will calculate the prime factors of 16173 and 16179.

Prime Factorization of 16173

Prime Factorization of 16179

Now multiplying the highest exponent prime factors to calculate the LCM of 16173 and 16179.

LCM(16173,16179) = 3³ × 599¹ × 5393¹
LCM(16173,16179) = 87220989