What is the Least Common Multiple of 65439 and 65451?

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 65439 and 65451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65439 and 65451, than apply into the LCM equation.

GCF(65439,65451) = 3
LCM(65439,65451) = ( 65439 × 65451) / 3
LCM(65439,65451) = 4283047989 / 3
LCM(65439,65451) = 1427682663

Least Common Multiple (LCM) of 65439 and 65451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65439 and 65451. First we will calculate the prime factors of 65439 and 65451.

Prime Factorization of 65439

Prime Factorization of 65451

Now multiplying the highest exponent prime factors to calculate the LCM of 65439 and 65451.

LCM(65439,65451) = 3² × 11¹ × 661¹ × 21817¹
LCM(65439,65451) = 1427682663