What is the Least Common Multiple of 30816 and 30824?

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 30816 and 30824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30816 and 30824, than apply into the LCM equation.

GCF(30816,30824) = 8
LCM(30816,30824) = ( 30816 × 30824) / 8
LCM(30816,30824) = 949872384 / 8
LCM(30816,30824) = 118734048

Least Common Multiple (LCM) of 30816 and 30824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30816 and 30824. First we will calculate the prime factors of 30816 and 30824.

Prime Factorization of 30816

Prime Factorization of 30824

Now multiplying the highest exponent prime factors to calculate the LCM of 30816 and 30824.

LCM(30816,30824) = 2⁵ × 3² × 107¹ × 3853¹
LCM(30816,30824) = 118734048