What is the Least Common Multiple of 69878 and 69896?

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 69878 and 69896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69878 and 69896, than apply into the LCM equation.

GCF(69878,69896) = 2
LCM(69878,69896) = ( 69878 × 69896) / 2
LCM(69878,69896) = 4884192688 / 2
LCM(69878,69896) = 2442096344

Least Common Multiple (LCM) of 69878 and 69896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69878 and 69896. First we will calculate the prime factors of 69878 and 69896.

Prime Factorization of 69878

Prime Factorization of 69896

Now multiplying the highest exponent prime factors to calculate the LCM of 69878 and 69896.

LCM(69878,69896) = 2³ × 34939¹ × 8737¹
LCM(69878,69896) = 2442096344