What is the Least Common Multiple of 8304 and 8319?

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 8304 and 8319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8304 and 8319, than apply into the LCM equation.

GCF(8304,8319) = 3
LCM(8304,8319) = ( 8304 × 8319) / 3
LCM(8304,8319) = 69080976 / 3
LCM(8304,8319) = 23026992

Least Common Multiple (LCM) of 8304 and 8319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8304 and 8319. First we will calculate the prime factors of 8304 and 8319.

Prime Factorization of 8304

Prime Factorization of 8319

Now multiplying the highest exponent prime factors to calculate the LCM of 8304 and 8319.

LCM(8304,8319) = 2⁴ × 3¹ × 173¹ × 47¹ × 59¹
LCM(8304,8319) = 23026992