What is the Least Common Multiple of 10174 and 10184?

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 10174 and 10184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10174 and 10184, than apply into the LCM equation.

GCF(10174,10184) = 2
LCM(10174,10184) = ( 10174 × 10184) / 2
LCM(10174,10184) = 103612016 / 2
LCM(10174,10184) = 51806008

Least Common Multiple (LCM) of 10174 and 10184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10174 and 10184. First we will calculate the prime factors of 10174 and 10184.

Prime Factorization of 10174

Prime Factorization of 10184

Now multiplying the highest exponent prime factors to calculate the LCM of 10174 and 10184.

LCM(10174,10184) = 2³ × 5087¹ × 19¹ × 67¹
LCM(10174,10184) = 51806008