What is the Least Common Multiple of 65089 and 65102?

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 65089 and 65102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65089 and 65102, than apply into the LCM equation.

GCF(65089,65102) = 1
LCM(65089,65102) = ( 65089 × 65102) / 1
LCM(65089,65102) = 4237424078 / 1
LCM(65089,65102) = 4237424078

Least Common Multiple (LCM) of 65089 and 65102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65089 and 65102. First we will calculate the prime factors of 65089 and 65102.

Prime Factorization of 65089

Prime Factorization of 65102

Now multiplying the highest exponent prime factors to calculate the LCM of 65089 and 65102.

LCM(65089,65102) = 65089¹ × 2¹ × 43¹ × 757¹
LCM(65089,65102) = 4237424078