What is the Least Common Multiple of 22509 and 22524?

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 22509 and 22524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22509 and 22524, than apply into the LCM equation.

GCF(22509,22524) = 3
LCM(22509,22524) = ( 22509 × 22524) / 3
LCM(22509,22524) = 506992716 / 3
LCM(22509,22524) = 168997572

Least Common Multiple (LCM) of 22509 and 22524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22509 and 22524. First we will calculate the prime factors of 22509 and 22524.

Prime Factorization of 22509

Prime Factorization of 22524

Now multiplying the highest exponent prime factors to calculate the LCM of 22509 and 22524.

LCM(22509,22524) = 3² × 41¹ × 61¹ × 2² × 1877¹
LCM(22509,22524) = 168997572