What is the Least Common Multiple of 25384 and 25403?

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 25384 and 25403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25384 and 25403, than apply into the LCM equation.

GCF(25384,25403) = 19
LCM(25384,25403) = ( 25384 × 25403) / 19
LCM(25384,25403) = 644829752 / 19
LCM(25384,25403) = 33938408

Least Common Multiple (LCM) of 25384 and 25403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25384 and 25403. First we will calculate the prime factors of 25384 and 25403.

Prime Factorization of 25384

Prime Factorization of 25403

Now multiplying the highest exponent prime factors to calculate the LCM of 25384 and 25403.

LCM(25384,25403) = 2³ × 19¹ × 167¹ × 7¹ × 191¹
LCM(25384,25403) = 33938408