What is the Least Common Multiple of 22824 and 22838?

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 22838 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 22838, than apply into the LCM equation.

GCF(22824,22838) = 2
LCM(22824,22838) = ( 22824 × 22838) / 2
LCM(22824,22838) = 521254512 / 2
LCM(22824,22838) = 260627256

Least Common Multiple (LCM) of 22824 and 22838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22824 and 22838. First we will calculate the prime factors of 22824 and 22838.

Prime Factorization of 22824

Prime Factorization of 22838

Now multiplying the highest exponent prime factors to calculate the LCM of 22824 and 22838.

LCM(22824,22838) = 2³ × 3² × 317¹ × 19¹ × 601¹
LCM(22824,22838) = 260627256