What is the Least Common Multiple of 29878 and 29898?

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 29878 and 29898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29878 and 29898, than apply into the LCM equation.

GCF(29878,29898) = 2
LCM(29878,29898) = ( 29878 × 29898) / 2
LCM(29878,29898) = 893292444 / 2
LCM(29878,29898) = 446646222

Least Common Multiple (LCM) of 29878 and 29898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29878 and 29898. First we will calculate the prime factors of 29878 and 29898.

Prime Factorization of 29878

Prime Factorization of 29898

Now multiplying the highest exponent prime factors to calculate the LCM of 29878 and 29898.

LCM(29878,29898) = 2¹ × 14939¹ × 3² × 11¹ × 151¹
LCM(29878,29898) = 446646222