What is the Least Common Multiple of 65084 and 65089?

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 65084 and 65089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65084 and 65089, than apply into the LCM equation.

GCF(65084,65089) = 1
LCM(65084,65089) = ( 65084 × 65089) / 1
LCM(65084,65089) = 4236252476 / 1
LCM(65084,65089) = 4236252476

Least Common Multiple (LCM) of 65084 and 65089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65084 and 65089. First we will calculate the prime factors of 65084 and 65089.

Prime Factorization of 65084

Prime Factorization of 65089

Now multiplying the highest exponent prime factors to calculate the LCM of 65084 and 65089.

LCM(65084,65089) = 2² × 53¹ × 307¹ × 65089¹
LCM(65084,65089) = 4236252476