What is the Least Common Multiple of 78864 and 78874?

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 78864 and 78874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78864 and 78874, than apply into the LCM equation.

GCF(78864,78874) = 2
LCM(78864,78874) = ( 78864 × 78874) / 2
LCM(78864,78874) = 6220319136 / 2
LCM(78864,78874) = 3110159568

Least Common Multiple (LCM) of 78864 and 78874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78864 and 78874. First we will calculate the prime factors of 78864 and 78874.

Prime Factorization of 78864

Prime Factorization of 78874

Now multiplying the highest exponent prime factors to calculate the LCM of 78864 and 78874.

LCM(78864,78874) = 2⁴ × 3¹ × 31¹ × 53¹ × 113¹ × 349¹
LCM(78864,78874) = 3110159568