What is the Least Common Multiple of 58174 and 58189?

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 58189 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 58189, than apply into the LCM equation.

GCF(58174,58189) = 1
LCM(58174,58189) = ( 58174 × 58189) / 1
LCM(58174,58189) = 3385086886 / 1
LCM(58174,58189) = 3385086886

Least Common Multiple (LCM) of 58174 and 58189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58174 and 58189. First we will calculate the prime factors of 58174 and 58189.

Prime Factorization of 58174

Prime Factorization of 58189

Now multiplying the highest exponent prime factors to calculate the LCM of 58174 and 58189.

LCM(58174,58189) = 2¹ × 17¹ × 29¹ × 59¹ × 58189¹
LCM(58174,58189) = 3385086886