What is the Least Common Multiple of 65535 and 65546?

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 65546 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 65546, than apply into the LCM equation.

GCF(65535,65546) = 1
LCM(65535,65546) = ( 65535 × 65546) / 1
LCM(65535,65546) = 4295557110 / 1
LCM(65535,65546) = 4295557110

Least Common Multiple (LCM) of 65535 and 65546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65535 and 65546. First we will calculate the prime factors of 65535 and 65546.

Prime Factorization of 65535

Prime Factorization of 65546

Now multiplying the highest exponent prime factors to calculate the LCM of 65535 and 65546.

LCM(65535,65546) = 3¹ × 5¹ × 17¹ × 257¹ × 2¹ × 13¹ × 2521¹
LCM(65535,65546) = 4295557110