What is the Least Common Multiple of 22569 and 22575?

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 22569 and 22575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22569 and 22575, than apply into the LCM equation.

GCF(22569,22575) = 3
LCM(22569,22575) = ( 22569 × 22575) / 3
LCM(22569,22575) = 509495175 / 3
LCM(22569,22575) = 169831725

Least Common Multiple (LCM) of 22569 and 22575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22569 and 22575. First we will calculate the prime factors of 22569 and 22575.

Prime Factorization of 22569

Prime Factorization of 22575

Now multiplying the highest exponent prime factors to calculate the LCM of 22569 and 22575.

LCM(22569,22575) = 3¹ × 7523¹ × 5² × 7¹ × 43¹
LCM(22569,22575) = 169831725