What is the Least Common Multiple of 28806 and 28823?

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 28806 and 28823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28806 and 28823, than apply into the LCM equation.

GCF(28806,28823) = 1
LCM(28806,28823) = ( 28806 × 28823) / 1
LCM(28806,28823) = 830275338 / 1
LCM(28806,28823) = 830275338

Least Common Multiple (LCM) of 28806 and 28823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28806 and 28823. First we will calculate the prime factors of 28806 and 28823.

Prime Factorization of 28806

Prime Factorization of 28823

Now multiplying the highest exponent prime factors to calculate the LCM of 28806 and 28823.

LCM(28806,28823) = 2¹ × 3¹ × 4801¹ × 19¹ × 37¹ × 41¹
LCM(28806,28823) = 830275338