What is the Least Common Multiple of 80864 and 80878?

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 80864 and 80878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80864 and 80878, than apply into the LCM equation.

GCF(80864,80878) = 14
LCM(80864,80878) = ( 80864 × 80878) / 14
LCM(80864,80878) = 6540118592 / 14
LCM(80864,80878) = 467151328

Least Common Multiple (LCM) of 80864 and 80878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80864 and 80878. First we will calculate the prime factors of 80864 and 80878.

Prime Factorization of 80864

Prime Factorization of 80878

Now multiplying the highest exponent prime factors to calculate the LCM of 80864 and 80878.

LCM(80864,80878) = 2⁵ × 7¹ × 19² × 53¹ × 109¹
LCM(80864,80878) = 467151328