What is the Least Common Multiple of 22539 and 22543?

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 22539 and 22543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22539 and 22543, than apply into the LCM equation.

GCF(22539,22543) = 1
LCM(22539,22543) = ( 22539 × 22543) / 1
LCM(22539,22543) = 508096677 / 1
LCM(22539,22543) = 508096677

Least Common Multiple (LCM) of 22539 and 22543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22539 and 22543. First we will calculate the prime factors of 22539 and 22543.

Prime Factorization of 22539

Prime Factorization of 22543

Now multiplying the highest exponent prime factors to calculate the LCM of 22539 and 22543.

LCM(22539,22543) = 3¹ × 11¹ × 683¹ × 22543¹
LCM(22539,22543) = 508096677