What is the Least Common Multiple of 80856 and 80867?

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 80856 and 80867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80856 and 80867, than apply into the LCM equation.

GCF(80856,80867) = 1
LCM(80856,80867) = ( 80856 × 80867) / 1
LCM(80856,80867) = 6538582152 / 1
LCM(80856,80867) = 6538582152

Least Common Multiple (LCM) of 80856 and 80867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80856 and 80867. First we will calculate the prime factors of 80856 and 80867.

Prime Factorization of 80856

Prime Factorization of 80867

Now multiplying the highest exponent prime factors to calculate the LCM of 80856 and 80867.

LCM(80856,80867) = 2³ × 3² × 1123¹ × 193¹ × 419¹
LCM(80856,80867) = 6538582152