What is the Least Common Multiple of 65533 and 65537?

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 65533 and 65537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65533 and 65537, than apply into the LCM equation.

GCF(65533,65537) = 1
LCM(65533,65537) = ( 65533 × 65537) / 1
LCM(65533,65537) = 4294836221 / 1
LCM(65533,65537) = 4294836221

Least Common Multiple (LCM) of 65533 and 65537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65533 and 65537. First we will calculate the prime factors of 65533 and 65537.

Prime Factorization of 65533

Prime Factorization of 65537

Now multiplying the highest exponent prime factors to calculate the LCM of 65533 and 65537.

LCM(65533,65537) = 13¹ × 71² × 65537¹
LCM(65533,65537) = 4294836221