What is the Least Common Multiple of 28368 and 28383?

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 28368 and 28383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28368 and 28383, than apply into the LCM equation.

GCF(28368,28383) = 3
LCM(28368,28383) = ( 28368 × 28383) / 3
LCM(28368,28383) = 805168944 / 3
LCM(28368,28383) = 268389648

Least Common Multiple (LCM) of 28368 and 28383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28368 and 28383. First we will calculate the prime factors of 28368 and 28383.

Prime Factorization of 28368

Prime Factorization of 28383

Now multiplying the highest exponent prime factors to calculate the LCM of 28368 and 28383.

LCM(28368,28383) = 2⁴ × 3² × 197¹ × 9461¹
LCM(28368,28383) = 268389648