What is the Least Common Multiple of 65589 and 65601?

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 65589 and 65601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65589 and 65601, than apply into the LCM equation.

GCF(65589,65601) = 3
LCM(65589,65601) = ( 65589 × 65601) / 3
LCM(65589,65601) = 4302703989 / 3
LCM(65589,65601) = 1434234663

Least Common Multiple (LCM) of 65589 and 65601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65589 and 65601. First we will calculate the prime factors of 65589 and 65601.

Prime Factorization of 65589

Prime Factorization of 65601

Now multiplying the highest exponent prime factors to calculate the LCM of 65589 and 65601.

LCM(65589,65601) = 3² × 21863¹ × 37¹ × 197¹
LCM(65589,65601) = 1434234663