What is the Least Common Multiple of 65443 and 65449?

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 65443 and 65449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65443 and 65449, than apply into the LCM equation.

GCF(65443,65449) = 1
LCM(65443,65449) = ( 65443 × 65449) / 1
LCM(65443,65449) = 4283178907 / 1
LCM(65443,65449) = 4283178907

Least Common Multiple (LCM) of 65443 and 65449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65443 and 65449. First we will calculate the prime factors of 65443 and 65449.

Prime Factorization of 65443

Prime Factorization of 65449

Now multiplying the highest exponent prime factors to calculate the LCM of 65443 and 65449.

LCM(65443,65449) = 7¹ × 9349¹ × 65449¹
LCM(65443,65449) = 4283178907