What is the Least Common Multiple of 76878 and 76896?

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 76878 and 76896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76878 and 76896, than apply into the LCM equation.

GCF(76878,76896) = 18
LCM(76878,76896) = ( 76878 × 76896) / 18
LCM(76878,76896) = 5911610688 / 18
LCM(76878,76896) = 328422816

Least Common Multiple (LCM) of 76878 and 76896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76878 and 76896. First we will calculate the prime factors of 76878 and 76896.

Prime Factorization of 76878

Prime Factorization of 76896

Now multiplying the highest exponent prime factors to calculate the LCM of 76878 and 76896.

LCM(76878,76896) = 2⁵ × 3³ × 4271¹ × 89¹
LCM(76878,76896) = 328422816