What is the Least Common Multiple of 18192 and 18207?

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 18192 and 18207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18192 and 18207, than apply into the LCM equation.

GCF(18192,18207) = 3
LCM(18192,18207) = ( 18192 × 18207) / 3
LCM(18192,18207) = 331221744 / 3
LCM(18192,18207) = 110407248

Least Common Multiple (LCM) of 18192 and 18207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18192 and 18207. First we will calculate the prime factors of 18192 and 18207.

Prime Factorization of 18192

Prime Factorization of 18207

Now multiplying the highest exponent prime factors to calculate the LCM of 18192 and 18207.

LCM(18192,18207) = 2⁴ × 3² × 379¹ × 7¹ × 17²
LCM(18192,18207) = 110407248