What is the Least Common Multiple of 47168 and 47174?

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 47168 and 47174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47168 and 47174, than apply into the LCM equation.

GCF(47168,47174) = 2
LCM(47168,47174) = ( 47168 × 47174) / 2
LCM(47168,47174) = 2225103232 / 2
LCM(47168,47174) = 1112551616

Least Common Multiple (LCM) of 47168 and 47174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47168 and 47174. First we will calculate the prime factors of 47168 and 47174.

Prime Factorization of 47168

Prime Factorization of 47174

Now multiplying the highest exponent prime factors to calculate the LCM of 47168 and 47174.

LCM(47168,47174) = 2⁶ × 11¹ × 67¹ × 103¹ × 229¹
LCM(47168,47174) = 1112551616