What is the Least Common Multiple of 23148 and 23162?

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 23162 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 23162, than apply into the LCM equation.

GCF(23148,23162) = 2
LCM(23148,23162) = ( 23148 × 23162) / 2
LCM(23148,23162) = 536153976 / 2
LCM(23148,23162) = 268076988

Least Common Multiple (LCM) of 23148 and 23162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23148 and 23162. First we will calculate the prime factors of 23148 and 23162.

Prime Factorization of 23148

Prime Factorization of 23162

Now multiplying the highest exponent prime factors to calculate the LCM of 23148 and 23162.

LCM(23148,23162) = 2² × 3² × 643¹ × 37¹ × 313¹
LCM(23148,23162) = 268076988