What is the Least Common Multiple of 69173 and 69191?

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 69173 and 69191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69173 and 69191, than apply into the LCM equation.

GCF(69173,69191) = 1
LCM(69173,69191) = ( 69173 × 69191) / 1
LCM(69173,69191) = 4786149043 / 1
LCM(69173,69191) = 4786149043

Least Common Multiple (LCM) of 69173 and 69191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69173 and 69191. First we will calculate the prime factors of 69173 and 69191.

Prime Factorization of 69173

Prime Factorization of 69191

Now multiplying the highest exponent prime factors to calculate the LCM of 69173 and 69191.

LCM(69173,69191) = 13¹ × 17¹ × 313¹ × 69191¹
LCM(69173,69191) = 4786149043