What is the Least Common Multiple of 83000 and 83014?

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 83000 and 83014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83000 and 83014, than apply into the LCM equation.

GCF(83000,83014) = 2
LCM(83000,83014) = ( 83000 × 83014) / 2
LCM(83000,83014) = 6890162000 / 2
LCM(83000,83014) = 3445081000

Least Common Multiple (LCM) of 83000 and 83014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83000 and 83014. First we will calculate the prime factors of 83000 and 83014.

Prime Factorization of 83000

Prime Factorization of 83014

Now multiplying the highest exponent prime factors to calculate the LCM of 83000 and 83014.

LCM(83000,83014) = 2³ × 5³ × 83¹ × 41507¹
LCM(83000,83014) = 3445081000