What is the Least Common Multiple of 83174 and 83189?

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 83174 and 83189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83174 and 83189, than apply into the LCM equation.

GCF(83174,83189) = 1
LCM(83174,83189) = ( 83174 × 83189) / 1
LCM(83174,83189) = 6919161886 / 1
LCM(83174,83189) = 6919161886

Least Common Multiple (LCM) of 83174 and 83189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83174 and 83189. First we will calculate the prime factors of 83174 and 83189.

Prime Factorization of 83174

Prime Factorization of 83189

Now multiplying the highest exponent prime factors to calculate the LCM of 83174 and 83189.

LCM(83174,83189) = 2¹ × 7¹ × 13¹ × 457¹ × 41¹ × 2029¹
LCM(83174,83189) = 6919161886