What is the Least Common Multiple of 23331 and 23348?

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 23331 and 23348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23331 and 23348, than apply into the LCM equation.

GCF(23331,23348) = 1
LCM(23331,23348) = ( 23331 × 23348) / 1
LCM(23331,23348) = 544732188 / 1
LCM(23331,23348) = 544732188

Least Common Multiple (LCM) of 23331 and 23348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23331 and 23348. First we will calculate the prime factors of 23331 and 23348.

Prime Factorization of 23331

Prime Factorization of 23348

Now multiplying the highest exponent prime factors to calculate the LCM of 23331 and 23348.

LCM(23331,23348) = 3¹ × 7¹ × 11¹ × 101¹ × 2² × 13¹ × 449¹
LCM(23331,23348) = 544732188