What is the Least Common Multiple of 80752 and 80759?

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 80752 and 80759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80752 and 80759, than apply into the LCM equation.

GCF(80752,80759) = 7
LCM(80752,80759) = ( 80752 × 80759) / 7
LCM(80752,80759) = 6521450768 / 7
LCM(80752,80759) = 931635824

Least Common Multiple (LCM) of 80752 and 80759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80752 and 80759. First we will calculate the prime factors of 80752 and 80759.

Prime Factorization of 80752

Prime Factorization of 80759

Now multiplying the highest exponent prime factors to calculate the LCM of 80752 and 80759.

LCM(80752,80759) = 2⁴ × 7² × 103¹ × 83¹ × 139¹
LCM(80752,80759) = 931635824