What is the Least Common Multiple of 3878 and 3898?

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 3878 and 3898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3878 and 3898, than apply into the LCM equation.

GCF(3878,3898) = 2
LCM(3878,3898) = ( 3878 × 3898) / 2
LCM(3878,3898) = 15116444 / 2
LCM(3878,3898) = 7558222

Least Common Multiple (LCM) of 3878 and 3898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3878 and 3898. First we will calculate the prime factors of 3878 and 3898.

Prime Factorization of 3878

Prime Factorization of 3898

Now multiplying the highest exponent prime factors to calculate the LCM of 3878 and 3898.

LCM(3878,3898) = 2¹ × 7¹ × 277¹ × 1949¹
LCM(3878,3898) = 7558222