What is the Least Common Multiple of 47156 and 47169?

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 47156 and 47169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47156 and 47169, than apply into the LCM equation.

GCF(47156,47169) = 1
LCM(47156,47169) = ( 47156 × 47169) / 1
LCM(47156,47169) = 2224301364 / 1
LCM(47156,47169) = 2224301364

Least Common Multiple (LCM) of 47156 and 47169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47156 and 47169. First we will calculate the prime factors of 47156 and 47169.

Prime Factorization of 47156

Prime Factorization of 47169

Now multiplying the highest exponent prime factors to calculate the LCM of 47156 and 47169.

LCM(47156,47169) = 2² × 11789¹ × 3³ × 1747¹
LCM(47156,47169) = 2224301364