What is the Least Common Multiple of 65793 and 65809?

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 65793 and 65809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65793 and 65809, than apply into the LCM equation.

GCF(65793,65809) = 1
LCM(65793,65809) = ( 65793 × 65809) / 1
LCM(65793,65809) = 4329771537 / 1
LCM(65793,65809) = 4329771537

Least Common Multiple (LCM) of 65793 and 65809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65793 and 65809. First we will calculate the prime factors of 65793 and 65809.

Prime Factorization of 65793

Prime Factorization of 65809

Now multiplying the highest exponent prime factors to calculate the LCM of 65793 and 65809.

LCM(65793,65809) = 3¹ × 7¹ × 13¹ × 241¹ × 65809¹
LCM(65793,65809) = 4329771537