What is the Least Common Multiple of 10174 and 10194?

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 10194 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 10194, than apply into the LCM equation.

GCF(10174,10194) = 2
LCM(10174,10194) = ( 10174 × 10194) / 2
LCM(10174,10194) = 103713756 / 2
LCM(10174,10194) = 51856878

Least Common Multiple (LCM) of 10174 and 10194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10174 and 10194. First we will calculate the prime factors of 10174 and 10194.

Prime Factorization of 10174

Prime Factorization of 10194

Now multiplying the highest exponent prime factors to calculate the LCM of 10174 and 10194.

LCM(10174,10194) = 2¹ × 5087¹ × 3¹ × 1699¹
LCM(10174,10194) = 51856878