What is the Least Common Multiple of 22559 and 22576?

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 22559 and 22576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22559 and 22576, than apply into the LCM equation.

GCF(22559,22576) = 17
LCM(22559,22576) = ( 22559 × 22576) / 17
LCM(22559,22576) = 509291984 / 17
LCM(22559,22576) = 29958352

Least Common Multiple (LCM) of 22559 and 22576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22559 and 22576. First we will calculate the prime factors of 22559 and 22576.

Prime Factorization of 22559

Prime Factorization of 22576

Now multiplying the highest exponent prime factors to calculate the LCM of 22559 and 22576.

LCM(22559,22576) = 17¹ × 1327¹ × 2⁴ × 83¹
LCM(22559,22576) = 29958352