What is the Least Common Multiple of 47089 and 47098?

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 47089 and 47098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47089 and 47098, than apply into the LCM equation.

GCF(47089,47098) = 1
LCM(47089,47098) = ( 47089 × 47098) / 1
LCM(47089,47098) = 2217797722 / 1
LCM(47089,47098) = 2217797722

Least Common Multiple (LCM) of 47089 and 47098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47089 and 47098. First we will calculate the prime factors of 47089 and 47098.

Prime Factorization of 47089

Prime Factorization of 47098

Now multiplying the highest exponent prime factors to calculate the LCM of 47089 and 47098.

LCM(47089,47098) = 7² × 31² × 2¹ × 23549¹
LCM(47089,47098) = 2217797722