What is the Least Common Multiple of 18538 and 18543?

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 18538 and 18543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18538 and 18543, than apply into the LCM equation.

GCF(18538,18543) = 1
LCM(18538,18543) = ( 18538 × 18543) / 1
LCM(18538,18543) = 343750134 / 1
LCM(18538,18543) = 343750134

Least Common Multiple (LCM) of 18538 and 18543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18538 and 18543. First we will calculate the prime factors of 18538 and 18543.

Prime Factorization of 18538

Prime Factorization of 18543

Now multiplying the highest exponent prime factors to calculate the LCM of 18538 and 18543.

LCM(18538,18543) = 2¹ × 13¹ × 23¹ × 31¹ × 3¹ × 7¹ × 883¹
LCM(18538,18543) = 343750134