What is the Least Common Multiple of 80729 and 80741?

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 80729 and 80741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80729 and 80741, than apply into the LCM equation.

GCF(80729,80741) = 1
LCM(80729,80741) = ( 80729 × 80741) / 1
LCM(80729,80741) = 6518140189 / 1
LCM(80729,80741) = 6518140189

Least Common Multiple (LCM) of 80729 and 80741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80729 and 80741. First we will calculate the prime factors of 80729 and 80741.

Prime Factorization of 80729

Prime Factorization of 80741

Now multiplying the highest exponent prime factors to calculate the LCM of 80729 and 80741.

LCM(80729,80741) = 11¹ × 41¹ × 179¹ × 263¹ × 307¹
LCM(80729,80741) = 6518140189