What is the Least Common Multiple of 65729 and 65741?

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 65729 and 65741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65729 and 65741, than apply into the LCM equation.

GCF(65729,65741) = 1
LCM(65729,65741) = ( 65729 × 65741) / 1
LCM(65729,65741) = 4321090189 / 1
LCM(65729,65741) = 4321090189

Least Common Multiple (LCM) of 65729 and 65741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65729 and 65741. First we will calculate the prime factors of 65729 and 65741.

Prime Factorization of 65729

Prime Factorization of 65741

Now multiplying the highest exponent prime factors to calculate the LCM of 65729 and 65741.

LCM(65729,65741) = 65729¹ × 13² × 389¹
LCM(65729,65741) = 4321090189