What is the Least Common Multiple of 8304 and 8324?

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 8324 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 8324, than apply into the LCM equation.

GCF(8304,8324) = 4
LCM(8304,8324) = ( 8304 × 8324) / 4
LCM(8304,8324) = 69122496 / 4
LCM(8304,8324) = 17280624

Least Common Multiple (LCM) of 8304 and 8324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8304 and 8324. First we will calculate the prime factors of 8304 and 8324.

Prime Factorization of 8304

Prime Factorization of 8324

Now multiplying the highest exponent prime factors to calculate the LCM of 8304 and 8324.

LCM(8304,8324) = 2⁴ × 3¹ × 173¹ × 2081¹
LCM(8304,8324) = 17280624