What is the Least Common Multiple of 22871 and 22882?

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 22871 and 22882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22871 and 22882, than apply into the LCM equation.

GCF(22871,22882) = 1
LCM(22871,22882) = ( 22871 × 22882) / 1
LCM(22871,22882) = 523334222 / 1
LCM(22871,22882) = 523334222

Least Common Multiple (LCM) of 22871 and 22882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22871 and 22882. First we will calculate the prime factors of 22871 and 22882.

Prime Factorization of 22871

Prime Factorization of 22882

Now multiplying the highest exponent prime factors to calculate the LCM of 22871 and 22882.

LCM(22871,22882) = 22871¹ × 2¹ × 17¹ × 673¹
LCM(22871,22882) = 523334222