What is the Least Common Multiple of 23082 and 23096?

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 23082 and 23096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23082 and 23096, than apply into the LCM equation.

GCF(23082,23096) = 2
LCM(23082,23096) = ( 23082 × 23096) / 2
LCM(23082,23096) = 533101872 / 2
LCM(23082,23096) = 266550936

Least Common Multiple (LCM) of 23082 and 23096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23082 and 23096. First we will calculate the prime factors of 23082 and 23096.

Prime Factorization of 23082

Prime Factorization of 23096

Now multiplying the highest exponent prime factors to calculate the LCM of 23082 and 23096.

LCM(23082,23096) = 2³ × 3¹ × 3847¹ × 2887¹
LCM(23082,23096) = 266550936