What is the Least Common Multiple of 22576 and 22592?

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 22576 and 22592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22576 and 22592, than apply into the LCM equation.

GCF(22576,22592) = 16
LCM(22576,22592) = ( 22576 × 22592) / 16
LCM(22576,22592) = 510036992 / 16
LCM(22576,22592) = 31877312

Least Common Multiple (LCM) of 22576 and 22592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22576 and 22592. First we will calculate the prime factors of 22576 and 22592.

Prime Factorization of 22576

Prime Factorization of 22592

Now multiplying the highest exponent prime factors to calculate the LCM of 22576 and 22592.

LCM(22576,22592) = 2⁶ × 17¹ × 83¹ × 353¹
LCM(22576,22592) = 31877312