What is the Least Common Multiple of 23148 and 23167?

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 23148 and 23167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23148 and 23167, than apply into the LCM equation.

GCF(23148,23167) = 1
LCM(23148,23167) = ( 23148 × 23167) / 1
LCM(23148,23167) = 536269716 / 1
LCM(23148,23167) = 536269716

Least Common Multiple (LCM) of 23148 and 23167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23148 and 23167. First we will calculate the prime factors of 23148 and 23167.

Prime Factorization of 23148

Prime Factorization of 23167

Now multiplying the highest exponent prime factors to calculate the LCM of 23148 and 23167.

LCM(23148,23167) = 2² × 3² × 643¹ × 23167¹
LCM(23148,23167) = 536269716