What is the Least Common Multiple of 18549 and 18561?

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 18549 and 18561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18549 and 18561, than apply into the LCM equation.

GCF(18549,18561) = 3
LCM(18549,18561) = ( 18549 × 18561) / 3
LCM(18549,18561) = 344287989 / 3
LCM(18549,18561) = 114762663

Least Common Multiple (LCM) of 18549 and 18561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18549 and 18561. First we will calculate the prime factors of 18549 and 18561.

Prime Factorization of 18549

Prime Factorization of 18561

Now multiplying the highest exponent prime factors to calculate the LCM of 18549 and 18561.

LCM(18549,18561) = 3⁴ × 229¹ × 23¹ × 269¹
LCM(18549,18561) = 114762663