What is the Least Common Multiple of 22816 and 22824?

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 22816 and 22824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22816 and 22824, than apply into the LCM equation.

GCF(22816,22824) = 8
LCM(22816,22824) = ( 22816 × 22824) / 8
LCM(22816,22824) = 520752384 / 8
LCM(22816,22824) = 65094048

Least Common Multiple (LCM) of 22816 and 22824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22816 and 22824. First we will calculate the prime factors of 22816 and 22824.

Prime Factorization of 22816

Prime Factorization of 22824

Now multiplying the highest exponent prime factors to calculate the LCM of 22816 and 22824.

LCM(22816,22824) = 2⁵ × 23¹ × 31¹ × 3² × 317¹
LCM(22816,22824) = 65094048