What is the Least Common Multiple of 28398 and 28413?

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 28398 and 28413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28398 and 28413, than apply into the LCM equation.

GCF(28398,28413) = 3
LCM(28398,28413) = ( 28398 × 28413) / 3
LCM(28398,28413) = 806872374 / 3
LCM(28398,28413) = 268957458

Least Common Multiple (LCM) of 28398 and 28413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28398 and 28413. First we will calculate the prime factors of 28398 and 28413.

Prime Factorization of 28398

Prime Factorization of 28413

Now multiplying the highest exponent prime factors to calculate the LCM of 28398 and 28413.

LCM(28398,28413) = 2¹ × 3² × 4733¹ × 7¹ × 11¹ × 41¹
LCM(28398,28413) = 268957458