What is the Least Common Multiple of 82704 and 82719?

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 82704 and 82719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82704 and 82719, than apply into the LCM equation.

GCF(82704,82719) = 3
LCM(82704,82719) = ( 82704 × 82719) / 3
LCM(82704,82719) = 6841192176 / 3
LCM(82704,82719) = 2280397392

Least Common Multiple (LCM) of 82704 and 82719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82704 and 82719. First we will calculate the prime factors of 82704 and 82719.

Prime Factorization of 82704

Prime Factorization of 82719

Now multiplying the highest exponent prime factors to calculate the LCM of 82704 and 82719.

LCM(82704,82719) = 2⁴ × 3² × 1723¹ × 7¹ × 13¹ × 101¹
LCM(82704,82719) = 2280397392