What is the Least Common Multiple of 47866 and 47873?

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 47866 and 47873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47866 and 47873, than apply into the LCM equation.

GCF(47866,47873) = 7
LCM(47866,47873) = ( 47866 × 47873) / 7
LCM(47866,47873) = 2291489018 / 7
LCM(47866,47873) = 327355574

Least Common Multiple (LCM) of 47866 and 47873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47866 and 47873. First we will calculate the prime factors of 47866 and 47873.

Prime Factorization of 47866

Prime Factorization of 47873

Now multiplying the highest exponent prime factors to calculate the LCM of 47866 and 47873.

LCM(47866,47873) = 2¹ × 7² × 13¹ × 263¹ × 977¹
LCM(47866,47873) = 327355574