What is the Least Common Multiple of 28713 and 28731?

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 28713 and 28731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28713 and 28731, than apply into the LCM equation.

GCF(28713,28731) = 3
LCM(28713,28731) = ( 28713 × 28731) / 3
LCM(28713,28731) = 824953203 / 3
LCM(28713,28731) = 274984401

Least Common Multiple (LCM) of 28713 and 28731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28713 and 28731. First we will calculate the prime factors of 28713 and 28731.

Prime Factorization of 28713

Prime Factorization of 28731

Now multiplying the highest exponent prime factors to calculate the LCM of 28713 and 28731.

LCM(28713,28731) = 3¹ × 17¹ × 563¹ × 61¹ × 157¹
LCM(28713,28731) = 274984401