What is the Least Common Multiple of 83189 and 83197?

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 83189 and 83197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83189 and 83197, than apply into the LCM equation.

GCF(83189,83197) = 1
LCM(83189,83197) = ( 83189 × 83197) / 1
LCM(83189,83197) = 6921075233 / 1
LCM(83189,83197) = 6921075233

Least Common Multiple (LCM) of 83189 and 83197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83189 and 83197. First we will calculate the prime factors of 83189 and 83197.

Prime Factorization of 83189

Prime Factorization of 83197

Now multiplying the highest exponent prime factors to calculate the LCM of 83189 and 83197.

LCM(83189,83197) = 41¹ × 2029¹ × 271¹ × 307¹
LCM(83189,83197) = 6921075233