What is the Least Common Multiple of 22575 and 22589?

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 22575 and 22589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22575 and 22589, than apply into the LCM equation.

GCF(22575,22589) = 7
LCM(22575,22589) = ( 22575 × 22589) / 7
LCM(22575,22589) = 509946675 / 7
LCM(22575,22589) = 72849525

Least Common Multiple (LCM) of 22575 and 22589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22575 and 22589. First we will calculate the prime factors of 22575 and 22589.

Prime Factorization of 22575

Prime Factorization of 22589

Now multiplying the highest exponent prime factors to calculate the LCM of 22575 and 22589.

LCM(22575,22589) = 3¹ × 5² × 7² × 43¹ × 461¹
LCM(22575,22589) = 72849525