What is the Least Common Multiple of 47174 and 47189?

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 47174 and 47189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47174 and 47189, than apply into the LCM equation.

GCF(47174,47189) = 1
LCM(47174,47189) = ( 47174 × 47189) / 1
LCM(47174,47189) = 2226093886 / 1
LCM(47174,47189) = 2226093886

Least Common Multiple (LCM) of 47174 and 47189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47174 and 47189. First we will calculate the prime factors of 47174 and 47189.

Prime Factorization of 47174

Prime Factorization of 47189

Now multiplying the highest exponent prime factors to calculate the LCM of 47174 and 47189.

LCM(47174,47189) = 2¹ × 103¹ × 229¹ × 47189¹
LCM(47174,47189) = 2226093886