What is the Least Common Multiple of 82989 and 83007?

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 82989 and 83007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82989 and 83007, than apply into the LCM equation.

GCF(82989,83007) = 9
LCM(82989,83007) = ( 82989 × 83007) / 9
LCM(82989,83007) = 6888667923 / 9
LCM(82989,83007) = 765407547

Least Common Multiple (LCM) of 82989 and 83007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82989 and 83007. First we will calculate the prime factors of 82989 and 83007.

Prime Factorization of 82989

Prime Factorization of 83007

Now multiplying the highest exponent prime factors to calculate the LCM of 82989 and 83007.

LCM(82989,83007) = 3² × 9221¹ × 23¹ × 401¹
LCM(82989,83007) = 765407547