What is the Least Common Multiple of 22824 and 22839?

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 22824 and 22839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22824 and 22839, than apply into the LCM equation.

GCF(22824,22839) = 3
LCM(22824,22839) = ( 22824 × 22839) / 3
LCM(22824,22839) = 521277336 / 3
LCM(22824,22839) = 173759112

Least Common Multiple (LCM) of 22824 and 22839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22824 and 22839. First we will calculate the prime factors of 22824 and 22839.

Prime Factorization of 22824

Prime Factorization of 22839

Now multiplying the highest exponent prime factors to calculate the LCM of 22824 and 22839.

LCM(22824,22839) = 2³ × 3² × 317¹ × 23¹ × 331¹
LCM(22824,22839) = 173759112