What is the Least Common Multiple of 58443 and 58449?

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 58443 and 58449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58443 and 58449, than apply into the LCM equation.

GCF(58443,58449) = 3
LCM(58443,58449) = ( 58443 × 58449) / 3
LCM(58443,58449) = 3415934907 / 3
LCM(58443,58449) = 1138644969

Least Common Multiple (LCM) of 58443 and 58449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58443 and 58449. First we will calculate the prime factors of 58443 and 58449.

Prime Factorization of 58443

Prime Factorization of 58449

Now multiplying the highest exponent prime factors to calculate the LCM of 58443 and 58449.

LCM(58443,58449) = 3¹ × 7¹ × 11² × 23¹ × 19483¹
LCM(58443,58449) = 1138644969