What is the Least Common Multiple of 28791 and 28797?

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 28791 and 28797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28791 and 28797, than apply into the LCM equation.

GCF(28791,28797) = 3
LCM(28791,28797) = ( 28791 × 28797) / 3
LCM(28791,28797) = 829094427 / 3
LCM(28791,28797) = 276364809

Least Common Multiple (LCM) of 28791 and 28797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28791 and 28797. First we will calculate the prime factors of 28791 and 28797.

Prime Factorization of 28791

Prime Factorization of 28797

Now multiplying the highest exponent prime factors to calculate the LCM of 28791 and 28797.

LCM(28791,28797) = 3² × 7¹ × 457¹ × 29¹ × 331¹
LCM(28791,28797) = 276364809