What is the Least Common Multiple of 55174 and 55189?

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 55174 and 55189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55174 and 55189, than apply into the LCM equation.

GCF(55174,55189) = 1
LCM(55174,55189) = ( 55174 × 55189) / 1
LCM(55174,55189) = 3044997886 / 1
LCM(55174,55189) = 3044997886

Least Common Multiple (LCM) of 55174 and 55189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55174 and 55189. First we will calculate the prime factors of 55174 and 55189.

Prime Factorization of 55174

Prime Factorization of 55189

Now multiplying the highest exponent prime factors to calculate the LCM of 55174 and 55189.

LCM(55174,55189) = 2¹ × 7² × 563¹ × 229¹ × 241¹
LCM(55174,55189) = 3044997886