What is the Least Common Multiple of 82986 and 83003?

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 82986 and 83003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82986 and 83003, than apply into the LCM equation.

GCF(82986,83003) = 1
LCM(82986,83003) = ( 82986 × 83003) / 1
LCM(82986,83003) = 6888086958 / 1
LCM(82986,83003) = 6888086958

Least Common Multiple (LCM) of 82986 and 83003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82986 and 83003. First we will calculate the prime factors of 82986 and 83003.

Prime Factorization of 82986

Prime Factorization of 83003

Now multiplying the highest exponent prime factors to calculate the LCM of 82986 and 83003.

LCM(82986,83003) = 2¹ × 3¹ × 13831¹ × 83003¹
LCM(82986,83003) = 6888086958