What is the Least Common Multiple of 83019 and 83034?

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 83019 and 83034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83019 and 83034, than apply into the LCM equation.

GCF(83019,83034) = 3
LCM(83019,83034) = ( 83019 × 83034) / 3
LCM(83019,83034) = 6893399646 / 3
LCM(83019,83034) = 2297799882

Least Common Multiple (LCM) of 83019 and 83034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83019 and 83034. First we will calculate the prime factors of 83019 and 83034.

Prime Factorization of 83019

Prime Factorization of 83034

Now multiplying the highest exponent prime factors to calculate the LCM of 83019 and 83034.

LCM(83019,83034) = 3² × 27673¹ × 2¹ × 7¹ × 659¹
LCM(83019,83034) = 2297799882