What is the Least Common Multiple of 18549 and 18553?

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 18553 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 18553, than apply into the LCM equation.

GCF(18549,18553) = 1
LCM(18549,18553) = ( 18549 × 18553) / 1
LCM(18549,18553) = 344139597 / 1
LCM(18549,18553) = 344139597

Least Common Multiple (LCM) of 18549 and 18553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18549 and 18553. First we will calculate the prime factors of 18549 and 18553.

Prime Factorization of 18549

Prime Factorization of 18553

Now multiplying the highest exponent prime factors to calculate the LCM of 18549 and 18553.

LCM(18549,18553) = 3⁴ × 229¹ × 18553¹
LCM(18549,18553) = 344139597