What is the Least Common Multiple of 8304 and 8320?

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 8320 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 8320, than apply into the LCM equation.

GCF(8304,8320) = 16
LCM(8304,8320) = ( 8304 × 8320) / 16
LCM(8304,8320) = 69089280 / 16
LCM(8304,8320) = 4318080

Least Common Multiple (LCM) of 8304 and 8320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8304 and 8320. First we will calculate the prime factors of 8304 and 8320.

Prime Factorization of 8304

Prime Factorization of 8320

Now multiplying the highest exponent prime factors to calculate the LCM of 8304 and 8320.

LCM(8304,8320) = 2⁷ × 3¹ × 173¹ × 5¹ × 13¹
LCM(8304,8320) = 4318080