What is the Least Common Multiple of 55174 and 55188?

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 55188 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 55188, than apply into the LCM equation.

GCF(55174,55188) = 14
LCM(55174,55188) = ( 55174 × 55188) / 14
LCM(55174,55188) = 3044942712 / 14
LCM(55174,55188) = 217495908

Least Common Multiple (LCM) of 55174 and 55188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55174 and 55188. First we will calculate the prime factors of 55174 and 55188.

Prime Factorization of 55174

Prime Factorization of 55188

Now multiplying the highest exponent prime factors to calculate the LCM of 55174 and 55188.

LCM(55174,55188) = 2² × 7² × 563¹ × 3³ × 73¹
LCM(55174,55188) = 217495908