What is the Least Common Multiple of 3089 and 3102?

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 3089 and 3102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3089 and 3102, than apply into the LCM equation.

GCF(3089,3102) = 1
LCM(3089,3102) = ( 3089 × 3102) / 1
LCM(3089,3102) = 9582078 / 1
LCM(3089,3102) = 9582078

Least Common Multiple (LCM) of 3089 and 3102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3089 and 3102. First we will calculate the prime factors of 3089 and 3102.

Prime Factorization of 3089

Prime Factorization of 3102

Now multiplying the highest exponent prime factors to calculate the LCM of 3089 and 3102.

LCM(3089,3102) = 3089¹ × 2¹ × 3¹ × 11¹ × 47¹
LCM(3089,3102) = 9582078