What is the Least Common Multiple of 28269 and 28281?

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 28269 and 28281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28269 and 28281, than apply into the LCM equation.

GCF(28269,28281) = 3
LCM(28269,28281) = ( 28269 × 28281) / 3
LCM(28269,28281) = 799475589 / 3
LCM(28269,28281) = 266491863

Least Common Multiple (LCM) of 28269 and 28281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28269 and 28281. First we will calculate the prime factors of 28269 and 28281.

Prime Factorization of 28269

Prime Factorization of 28281

Now multiplying the highest exponent prime factors to calculate the LCM of 28269 and 28281.

LCM(28269,28281) = 3⁴ × 349¹ × 11¹ × 857¹
LCM(28269,28281) = 266491863