What is the Least Common Multiple of 23124 and 23133?

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 23124 and 23133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23124 and 23133, than apply into the LCM equation.

GCF(23124,23133) = 3
LCM(23124,23133) = ( 23124 × 23133) / 3
LCM(23124,23133) = 534927492 / 3
LCM(23124,23133) = 178309164

Least Common Multiple (LCM) of 23124 and 23133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23124 and 23133. First we will calculate the prime factors of 23124 and 23133.

Prime Factorization of 23124

Prime Factorization of 23133

Now multiplying the highest exponent prime factors to calculate the LCM of 23124 and 23133.

LCM(23124,23133) = 2² × 3¹ × 41¹ × 47¹ × 11¹ × 701¹
LCM(23124,23133) = 178309164