What is the Least Common Multiple of 8704 and 8721?

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 8704 and 8721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8704 and 8721, than apply into the LCM equation.

GCF(8704,8721) = 17
LCM(8704,8721) = ( 8704 × 8721) / 17
LCM(8704,8721) = 75907584 / 17
LCM(8704,8721) = 4465152

Least Common Multiple (LCM) of 8704 and 8721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8704 and 8721. First we will calculate the prime factors of 8704 and 8721.

Prime Factorization of 8704

Prime Factorization of 8721

Now multiplying the highest exponent prime factors to calculate the LCM of 8704 and 8721.

LCM(8704,8721) = 2⁹ × 17¹ × 3³ × 19¹
LCM(8704,8721) = 4465152