What is the Least Common Multiple of 18180 and 18192?

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 18180 and 18192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18180 and 18192, than apply into the LCM equation.

GCF(18180,18192) = 12
LCM(18180,18192) = ( 18180 × 18192) / 12
LCM(18180,18192) = 330730560 / 12
LCM(18180,18192) = 27560880

Least Common Multiple (LCM) of 18180 and 18192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18180 and 18192. First we will calculate the prime factors of 18180 and 18192.

Prime Factorization of 18180

Prime Factorization of 18192

Now multiplying the highest exponent prime factors to calculate the LCM of 18180 and 18192.

LCM(18180,18192) = 2⁴ × 3² × 5¹ × 101¹ × 379¹
LCM(18180,18192) = 27560880