What is the Least Common Multiple of 80856 and 80865?

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 80865 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 80865, than apply into the LCM equation.

GCF(80856,80865) = 9
LCM(80856,80865) = ( 80856 × 80865) / 9
LCM(80856,80865) = 6538420440 / 9
LCM(80856,80865) = 726491160

Least Common Multiple (LCM) of 80856 and 80865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80856 and 80865. First we will calculate the prime factors of 80856 and 80865.

Prime Factorization of 80856

Prime Factorization of 80865

Now multiplying the highest exponent prime factors to calculate the LCM of 80856 and 80865.

LCM(80856,80865) = 2³ × 3³ × 1123¹ × 5¹ × 599¹
LCM(80856,80865) = 726491160