What is the Least Common Multiple of 47169 and 47173?

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 47169 and 47173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47169 and 47173, than apply into the LCM equation.

GCF(47169,47173) = 1
LCM(47169,47173) = ( 47169 × 47173) / 1
LCM(47169,47173) = 2225103237 / 1
LCM(47169,47173) = 2225103237

Least Common Multiple (LCM) of 47169 and 47173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47169 and 47173. First we will calculate the prime factors of 47169 and 47173.

Prime Factorization of 47169

Prime Factorization of 47173

Now multiplying the highest exponent prime factors to calculate the LCM of 47169 and 47173.

LCM(47169,47173) = 3³ × 1747¹ × 7¹ × 23¹ × 293¹
LCM(47169,47173) = 2225103237