What is the Least Common Multiple of 8704 and 8714?

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 8714 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 8714, than apply into the LCM equation.

GCF(8704,8714) = 2
LCM(8704,8714) = ( 8704 × 8714) / 2
LCM(8704,8714) = 75846656 / 2
LCM(8704,8714) = 37923328

Least Common Multiple (LCM) of 8704 and 8714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8704 and 8714. First we will calculate the prime factors of 8704 and 8714.

Prime Factorization of 8704

Prime Factorization of 8714

Now multiplying the highest exponent prime factors to calculate the LCM of 8704 and 8714.

LCM(8704,8714) = 2⁹ × 17¹ × 4357¹
LCM(8704,8714) = 37923328