What is the Least Common Multiple of 47909 and 47916?

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 47909 and 47916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47909 and 47916, than apply into the LCM equation.

GCF(47909,47916) = 1
LCM(47909,47916) = ( 47909 × 47916) / 1
LCM(47909,47916) = 2295607644 / 1
LCM(47909,47916) = 2295607644

Least Common Multiple (LCM) of 47909 and 47916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47909 and 47916. First we will calculate the prime factors of 47909 and 47916.

Prime Factorization of 47909

Prime Factorization of 47916

Now multiplying the highest exponent prime factors to calculate the LCM of 47909 and 47916.

LCM(47909,47916) = 23¹ × 2083¹ × 2² × 3² × 11³
LCM(47909,47916) = 2295607644