What is the Least Common Multiple of 22568 and 22579?

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 22568 and 22579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22568 and 22579, than apply into the LCM equation.

GCF(22568,22579) = 1
LCM(22568,22579) = ( 22568 × 22579) / 1
LCM(22568,22579) = 509562872 / 1
LCM(22568,22579) = 509562872

Least Common Multiple (LCM) of 22568 and 22579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22568 and 22579. First we will calculate the prime factors of 22568 and 22579.

Prime Factorization of 22568

Prime Factorization of 22579

Now multiplying the highest exponent prime factors to calculate the LCM of 22568 and 22579.

LCM(22568,22579) = 2³ × 7¹ × 13¹ × 31¹ × 67¹ × 337¹
LCM(22568,22579) = 509562872