What is the Least Common Multiple of 23382 and 23400?

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 23382 and 23400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23382 and 23400, than apply into the LCM equation.

GCF(23382,23400) = 18
LCM(23382,23400) = ( 23382 × 23400) / 18
LCM(23382,23400) = 547138800 / 18
LCM(23382,23400) = 30396600

Least Common Multiple (LCM) of 23382 and 23400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23382 and 23400. First we will calculate the prime factors of 23382 and 23400.

Prime Factorization of 23382

Prime Factorization of 23400

Now multiplying the highest exponent prime factors to calculate the LCM of 23382 and 23400.

LCM(23382,23400) = 2³ × 3³ × 433¹ × 5² × 13¹
LCM(23382,23400) = 30396600