What is the Least Common Multiple of 22576 and 22585?

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 22585 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 22585, than apply into the LCM equation.

GCF(22576,22585) = 1
LCM(22576,22585) = ( 22576 × 22585) / 1
LCM(22576,22585) = 509878960 / 1
LCM(22576,22585) = 509878960

Least Common Multiple (LCM) of 22576 and 22585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22576 and 22585. First we will calculate the prime factors of 22576 and 22585.

Prime Factorization of 22576

Prime Factorization of 22585

Now multiplying the highest exponent prime factors to calculate the LCM of 22576 and 22585.

LCM(22576,22585) = 2⁴ × 17¹ × 83¹ × 5¹ × 4517¹
LCM(22576,22585) = 509878960