What is the Least Common Multiple of 72089 and 72094?

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 72089 and 72094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72089 and 72094, than apply into the LCM equation.

GCF(72089,72094) = 1
LCM(72089,72094) = ( 72089 × 72094) / 1
LCM(72089,72094) = 5197184366 / 1
LCM(72089,72094) = 5197184366

Least Common Multiple (LCM) of 72089 and 72094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72089 and 72094. First we will calculate the prime factors of 72089 and 72094.

Prime Factorization of 72089

Prime Factorization of 72094

Now multiplying the highest exponent prime factors to calculate the LCM of 72089 and 72094.

LCM(72089,72094) = 72089¹ × 2¹ × 11¹ × 29¹ × 113¹
LCM(72089,72094) = 5197184366