What is the Least Common Multiple of 22353 and 22371?

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 22353 and 22371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22353 and 22371, than apply into the LCM equation.

GCF(22353,22371) = 3
LCM(22353,22371) = ( 22353 × 22371) / 3
LCM(22353,22371) = 500058963 / 3
LCM(22353,22371) = 166686321

Least Common Multiple (LCM) of 22353 and 22371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22353 and 22371. First we will calculate the prime factors of 22353 and 22371.

Prime Factorization of 22353

Prime Factorization of 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 22353 and 22371.

LCM(22353,22371) = 3¹ × 7451¹ × 7457¹
LCM(22353,22371) = 166686321