What is the Least Common Multiple of 83007 and 83019?

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 83007 and 83019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83007 and 83019, than apply into the LCM equation.

GCF(83007,83019) = 3
LCM(83007,83019) = ( 83007 × 83019) / 3
LCM(83007,83019) = 6891158133 / 3
LCM(83007,83019) = 2297052711

Least Common Multiple (LCM) of 83007 and 83019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83007 and 83019. First we will calculate the prime factors of 83007 and 83019.

Prime Factorization of 83007

Prime Factorization of 83019

Now multiplying the highest exponent prime factors to calculate the LCM of 83007 and 83019.

LCM(83007,83019) = 3² × 23¹ × 401¹ × 27673¹
LCM(83007,83019) = 2297052711