What is the Least Common Multiple of 13878 and 13898?

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 13878 and 13898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13878 and 13898, than apply into the LCM equation.

GCF(13878,13898) = 2
LCM(13878,13898) = ( 13878 × 13898) / 2
LCM(13878,13898) = 192876444 / 2
LCM(13878,13898) = 96438222

Least Common Multiple (LCM) of 13878 and 13898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13878 and 13898. First we will calculate the prime factors of 13878 and 13898.

Prime Factorization of 13878

Prime Factorization of 13898

Now multiplying the highest exponent prime factors to calculate the LCM of 13878 and 13898.

LCM(13878,13898) = 2¹ × 3³ × 257¹ × 6949¹
LCM(13878,13898) = 96438222