What is the Least Common Multiple of 28380 and 28389?

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 28380 and 28389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28380 and 28389, than apply into the LCM equation.

GCF(28380,28389) = 3
LCM(28380,28389) = ( 28380 × 28389) / 3
LCM(28380,28389) = 805679820 / 3
LCM(28380,28389) = 268559940

Least Common Multiple (LCM) of 28380 and 28389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28380 and 28389. First we will calculate the prime factors of 28380 and 28389.

Prime Factorization of 28380

Prime Factorization of 28389

Now multiplying the highest exponent prime factors to calculate the LCM of 28380 and 28389.

LCM(28380,28389) = 2² × 3¹ × 5¹ × 11¹ × 43¹ × 9463¹
LCM(28380,28389) = 268559940