What is the Least Common Multiple of 54423 and 54441?

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 54423 and 54441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54423 and 54441, than apply into the LCM equation.

GCF(54423,54441) = 9
LCM(54423,54441) = ( 54423 × 54441) / 9
LCM(54423,54441) = 2962842543 / 9
LCM(54423,54441) = 329204727

Least Common Multiple (LCM) of 54423 and 54441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54423 and 54441. First we will calculate the prime factors of 54423 and 54441.

Prime Factorization of 54423

Prime Factorization of 54441

Now multiplying the highest exponent prime factors to calculate the LCM of 54423 and 54441.

LCM(54423,54441) = 3² × 6047¹ × 23¹ × 263¹
LCM(54423,54441) = 329204727