What is the Least Common Multiple of 18543 and 18548?

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 18543 and 18548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18543 and 18548, than apply into the LCM equation.

GCF(18543,18548) = 1
LCM(18543,18548) = ( 18543 × 18548) / 1
LCM(18543,18548) = 343935564 / 1
LCM(18543,18548) = 343935564

Least Common Multiple (LCM) of 18543 and 18548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18543 and 18548. First we will calculate the prime factors of 18543 and 18548.

Prime Factorization of 18543

Prime Factorization of 18548

Now multiplying the highest exponent prime factors to calculate the LCM of 18543 and 18548.

LCM(18543,18548) = 3¹ × 7¹ × 883¹ × 2² × 4637¹
LCM(18543,18548) = 343935564