What is the Least Common Multiple of 4089 and 4096?

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 4089 and 4096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4089 and 4096, than apply into the LCM equation.

GCF(4089,4096) = 1
LCM(4089,4096) = ( 4089 × 4096) / 1
LCM(4089,4096) = 16748544 / 1
LCM(4089,4096) = 16748544

Least Common Multiple (LCM) of 4089 and 4096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4089 and 4096. First we will calculate the prime factors of 4089 and 4096.

Prime Factorization of 4089

Prime Factorization of 4096

Now multiplying the highest exponent prime factors to calculate the LCM of 4089 and 4096.

LCM(4089,4096) = 3¹ × 29¹ × 47¹ × 2¹²
LCM(4089,4096) = 16748544