What is the Least Common Multiple of 24564 and 24584?

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 24564 and 24584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24564 and 24584, than apply into the LCM equation.

GCF(24564,24584) = 4
LCM(24564,24584) = ( 24564 × 24584) / 4
LCM(24564,24584) = 603881376 / 4
LCM(24564,24584) = 150970344

Least Common Multiple (LCM) of 24564 and 24584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24564 and 24584. First we will calculate the prime factors of 24564 and 24584.

Prime Factorization of 24564

Prime Factorization of 24584

Now multiplying the highest exponent prime factors to calculate the LCM of 24564 and 24584.

LCM(24564,24584) = 2³ × 3¹ × 23¹ × 89¹ × 7¹ × 439¹
LCM(24564,24584) = 150970344