What is the Least Common Multiple of 65433 and 65441?

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 65433 and 65441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65433 and 65441, than apply into the LCM equation.

GCF(65433,65441) = 1
LCM(65433,65441) = ( 65433 × 65441) / 1
LCM(65433,65441) = 4282000953 / 1
LCM(65433,65441) = 4282000953

Least Common Multiple (LCM) of 65433 and 65441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65433 and 65441. First we will calculate the prime factors of 65433 and 65441.

Prime Factorization of 65433

Prime Factorization of 65441

Now multiplying the highest exponent prime factors to calculate the LCM of 65433 and 65441.

LCM(65433,65441) = 3¹ × 17¹ × 1283¹ × 31¹ × 2111¹
LCM(65433,65441) = 4282000953