What is the Least Common Multiple of 15172 and 15179?

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 15172 and 15179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15172 and 15179, than apply into the LCM equation.

GCF(15172,15179) = 1
LCM(15172,15179) = ( 15172 × 15179) / 1
LCM(15172,15179) = 230295788 / 1
LCM(15172,15179) = 230295788

Least Common Multiple (LCM) of 15172 and 15179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15172 and 15179. First we will calculate the prime factors of 15172 and 15179.

Prime Factorization of 15172

Prime Factorization of 15179

Now multiplying the highest exponent prime factors to calculate the LCM of 15172 and 15179.

LCM(15172,15179) = 2² × 3793¹ × 43¹ × 353¹
LCM(15172,15179) = 230295788