What is the Least Common Multiple of 54816 and 54829?

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 54829 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 54829, than apply into the LCM equation.

GCF(54816,54829) = 1
LCM(54816,54829) = ( 54816 × 54829) / 1
LCM(54816,54829) = 3005506464 / 1
LCM(54816,54829) = 3005506464

Least Common Multiple (LCM) of 54816 and 54829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54816 and 54829. First we will calculate the prime factors of 54816 and 54829.

Prime Factorization of 54816

Prime Factorization of 54829

Now multiplying the highest exponent prime factors to calculate the LCM of 54816 and 54829.

LCM(54816,54829) = 2⁵ × 3¹ × 571¹ × 54829¹
LCM(54816,54829) = 3005506464