What is the Least Common Multiple of 54816 and 54825?

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 54825 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 54825, than apply into the LCM equation.

GCF(54816,54825) = 3
LCM(54816,54825) = ( 54816 × 54825) / 3
LCM(54816,54825) = 3005287200 / 3
LCM(54816,54825) = 1001762400

Least Common Multiple (LCM) of 54816 and 54825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54816 and 54825. First we will calculate the prime factors of 54816 and 54825.

Prime Factorization of 54816

Prime Factorization of 54825

Now multiplying the highest exponent prime factors to calculate the LCM of 54816 and 54825.

LCM(54816,54825) = 2⁵ × 3¹ × 571¹ × 5² × 17¹ × 43¹
LCM(54816,54825) = 1001762400