What is the Least Common Multiple of 86878 and 86896?

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 86878 and 86896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86878 and 86896, than apply into the LCM equation.

GCF(86878,86896) = 2
LCM(86878,86896) = ( 86878 × 86896) / 2
LCM(86878,86896) = 7549350688 / 2
LCM(86878,86896) = 3774675344

Least Common Multiple (LCM) of 86878 and 86896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86878 and 86896. First we will calculate the prime factors of 86878 and 86896.

Prime Factorization of 86878

Prime Factorization of 86896

Now multiplying the highest exponent prime factors to calculate the LCM of 86878 and 86896.

LCM(86878,86896) = 2⁴ × 11² × 359¹ × 5431¹
LCM(86878,86896) = 3774675344