What is the Least Common Multiple of 54528 and 54543?

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 54528 and 54543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54528 and 54543, than apply into the LCM equation.

GCF(54528,54543) = 3
LCM(54528,54543) = ( 54528 × 54543) / 3
LCM(54528,54543) = 2974120704 / 3
LCM(54528,54543) = 991373568

Least Common Multiple (LCM) of 54528 and 54543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54528 and 54543. First we will calculate the prime factors of 54528 and 54543.

Prime Factorization of 54528

Prime Factorization of 54543

Now multiplying the highest exponent prime factors to calculate the LCM of 54528 and 54543.

LCM(54528,54543) = 2⁸ × 3¹ × 71¹ × 18181¹
LCM(54528,54543) = 991373568