What is the Least Common Multiple of 16539 and 16543?

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 16539 and 16543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16539 and 16543, than apply into the LCM equation.

GCF(16539,16543) = 1
LCM(16539,16543) = ( 16539 × 16543) / 1
LCM(16539,16543) = 273604677 / 1
LCM(16539,16543) = 273604677

Least Common Multiple (LCM) of 16539 and 16543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16539 and 16543. First we will calculate the prime factors of 16539 and 16543.

Prime Factorization of 16539

Prime Factorization of 16543

Now multiplying the highest exponent prime factors to calculate the LCM of 16539 and 16543.

LCM(16539,16543) = 3¹ × 37¹ × 149¹ × 71¹ × 233¹
LCM(16539,16543) = 273604677