What is the Least Common Multiple of 43089 and 43096?

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 43089 and 43096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43089 and 43096, than apply into the LCM equation.

GCF(43089,43096) = 1
LCM(43089,43096) = ( 43089 × 43096) / 1
LCM(43089,43096) = 1856963544 / 1
LCM(43089,43096) = 1856963544

Least Common Multiple (LCM) of 43089 and 43096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43089 and 43096. First we will calculate the prime factors of 43089 and 43096.

Prime Factorization of 43089

Prime Factorization of 43096

Now multiplying the highest exponent prime factors to calculate the LCM of 43089 and 43096.

LCM(43089,43096) = 3¹ × 53¹ × 271¹ × 2³ × 5387¹
LCM(43089,43096) = 1856963544