What is the Least Common Multiple of 47844 and 47859?

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 47844 and 47859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47844 and 47859, than apply into the LCM equation.

GCF(47844,47859) = 3
LCM(47844,47859) = ( 47844 × 47859) / 3
LCM(47844,47859) = 2289765996 / 3
LCM(47844,47859) = 763255332

Least Common Multiple (LCM) of 47844 and 47859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47844 and 47859. First we will calculate the prime factors of 47844 and 47859.

Prime Factorization of 47844

Prime Factorization of 47859

Now multiplying the highest exponent prime factors to calculate the LCM of 47844 and 47859.

LCM(47844,47859) = 2² × 3³ × 443¹ × 7¹ × 43¹ × 53¹
LCM(47844,47859) = 763255332