What is the Least Common Multiple of 15177 and 15192?

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 15177 and 15192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15177 and 15192, than apply into the LCM equation.

GCF(15177,15192) = 3
LCM(15177,15192) = ( 15177 × 15192) / 3
LCM(15177,15192) = 230568984 / 3
LCM(15177,15192) = 76856328

Least Common Multiple (LCM) of 15177 and 15192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15177 and 15192. First we will calculate the prime factors of 15177 and 15192.

Prime Factorization of 15177

Prime Factorization of 15192

Now multiplying the highest exponent prime factors to calculate the LCM of 15177 and 15192.

LCM(15177,15192) = 3² × 5059¹ × 2³ × 211¹
LCM(15177,15192) = 76856328