What is the Least Common Multiple of 22338 and 22353?

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 22338 and 22353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22338 and 22353, than apply into the LCM equation.

GCF(22338,22353) = 3
LCM(22338,22353) = ( 22338 × 22353) / 3
LCM(22338,22353) = 499321314 / 3
LCM(22338,22353) = 166440438

Least Common Multiple (LCM) of 22338 and 22353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22338 and 22353. First we will calculate the prime factors of 22338 and 22353.

Prime Factorization of 22338

Prime Factorization of 22353

Now multiplying the highest exponent prime factors to calculate the LCM of 22338 and 22353.

LCM(22338,22353) = 2¹ × 3² × 17¹ × 73¹ × 7451¹
LCM(22338,22353) = 166440438