What is the Least Common Multiple of 65535 and 65553?

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 65535 and 65553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65535 and 65553, than apply into the LCM equation.

GCF(65535,65553) = 3
LCM(65535,65553) = ( 65535 × 65553) / 3
LCM(65535,65553) = 4296015855 / 3
LCM(65535,65553) = 1432005285

Least Common Multiple (LCM) of 65535 and 65553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65535 and 65553. First we will calculate the prime factors of 65535 and 65553.

Prime Factorization of 65535

Prime Factorization of 65553

Now multiplying the highest exponent prime factors to calculate the LCM of 65535 and 65553.

LCM(65535,65553) = 3¹ × 5¹ × 17¹ × 257¹ × 21851¹
LCM(65535,65553) = 1432005285