What is the Least Common Multiple of 47149 and 47168?

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 47149 and 47168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47149 and 47168, than apply into the LCM equation.

GCF(47149,47168) = 1
LCM(47149,47168) = ( 47149 × 47168) / 1
LCM(47149,47168) = 2223924032 / 1
LCM(47149,47168) = 2223924032

Least Common Multiple (LCM) of 47149 and 47168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47149 and 47168. First we will calculate the prime factors of 47149 and 47168.

Prime Factorization of 47149

Prime Factorization of 47168

Now multiplying the highest exponent prime factors to calculate the LCM of 47149 and 47168.

LCM(47149,47168) = 47149¹ × 2⁶ × 11¹ × 67¹
LCM(47149,47168) = 2223924032