What is the Least Common Multiple of 22857 and 22872?

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 22857 and 22872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22857 and 22872, than apply into the LCM equation.

GCF(22857,22872) = 3
LCM(22857,22872) = ( 22857 × 22872) / 3
LCM(22857,22872) = 522785304 / 3
LCM(22857,22872) = 174261768

Least Common Multiple (LCM) of 22857 and 22872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22857 and 22872. First we will calculate the prime factors of 22857 and 22872.

Prime Factorization of 22857

Prime Factorization of 22872

Now multiplying the highest exponent prime factors to calculate the LCM of 22857 and 22872.

LCM(22857,22872) = 3¹ × 19¹ × 401¹ × 2³ × 953¹
LCM(22857,22872) = 174261768