What is the Least Common Multiple of 80686 and 80699?

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 80686 and 80699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80686 and 80699, than apply into the LCM equation.

GCF(80686,80699) = 1
LCM(80686,80699) = ( 80686 × 80699) / 1
LCM(80686,80699) = 6511279514 / 1
LCM(80686,80699) = 6511279514

Least Common Multiple (LCM) of 80686 and 80699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80686 and 80699. First we will calculate the prime factors of 80686 and 80699.

Prime Factorization of 80686

Prime Factorization of 80699

Now multiplying the highest exponent prime factors to calculate the LCM of 80686 and 80699.

LCM(80686,80699) = 2¹ × 40343¹ × 17¹ × 47¹ × 101¹
LCM(80686,80699) = 6511279514