What is the Least Common Multiple of 54816 and 54828?

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 54816 and 54828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54816 and 54828, than apply into the LCM equation.

GCF(54816,54828) = 12
LCM(54816,54828) = ( 54816 × 54828) / 12
LCM(54816,54828) = 3005451648 / 12
LCM(54816,54828) = 250454304

Least Common Multiple (LCM) of 54816 and 54828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54816 and 54828. First we will calculate the prime factors of 54816 and 54828.

Prime Factorization of 54816

Prime Factorization of 54828

Now multiplying the highest exponent prime factors to calculate the LCM of 54816 and 54828.

LCM(54816,54828) = 2⁵ × 3² × 571¹ × 1523¹
LCM(54816,54828) = 250454304