What is the Least Common Multiple of 58174 and 58191?

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 58174 and 58191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58174 and 58191, than apply into the LCM equation.

GCF(58174,58191) = 17
LCM(58174,58191) = ( 58174 × 58191) / 17
LCM(58174,58191) = 3385203234 / 17
LCM(58174,58191) = 199129602

Least Common Multiple (LCM) of 58174 and 58191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58174 and 58191. First we will calculate the prime factors of 58174 and 58191.

Prime Factorization of 58174

Prime Factorization of 58191

Now multiplying the highest exponent prime factors to calculate the LCM of 58174 and 58191.

LCM(58174,58191) = 2¹ × 17¹ × 29¹ × 59¹ × 3¹ × 7¹ × 163¹
LCM(58174,58191) = 199129602