What is the Least Common Multiple of 70866 and 70873?

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 70866 and 70873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70866 and 70873, than apply into the LCM equation.

GCF(70866,70873) = 1
LCM(70866,70873) = ( 70866 × 70873) / 1
LCM(70866,70873) = 5022486018 / 1
LCM(70866,70873) = 5022486018

Least Common Multiple (LCM) of 70866 and 70873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70866 and 70873. First we will calculate the prime factors of 70866 and 70873.

Prime Factorization of 70866

Prime Factorization of 70873

Now multiplying the highest exponent prime factors to calculate the LCM of 70866 and 70873.

LCM(70866,70873) = 2¹ × 3² × 31¹ × 127¹ × 11¹ × 17¹ × 379¹
LCM(70866,70873) = 5022486018