What is the Least Common Multiple of 14539 and 14543?

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 14539 and 14543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14539 and 14543, than apply into the LCM equation.

GCF(14539,14543) = 1
LCM(14539,14543) = ( 14539 × 14543) / 1
LCM(14539,14543) = 211440677 / 1
LCM(14539,14543) = 211440677

Least Common Multiple (LCM) of 14539 and 14543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14539 and 14543. First we will calculate the prime factors of 14539 and 14543.

Prime Factorization of 14539

Prime Factorization of 14543

Now multiplying the highest exponent prime factors to calculate the LCM of 14539 and 14543.

LCM(14539,14543) = 7¹ × 31¹ × 67¹ × 14543¹
LCM(14539,14543) = 211440677