What is the Least Common Multiple of 12304 and 12308?

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 12304 and 12308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12304 and 12308, than apply into the LCM equation.

GCF(12304,12308) = 4
LCM(12304,12308) = ( 12304 × 12308) / 4
LCM(12304,12308) = 151437632 / 4
LCM(12304,12308) = 37859408

Least Common Multiple (LCM) of 12304 and 12308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12304 and 12308. First we will calculate the prime factors of 12304 and 12308.

Prime Factorization of 12304

Prime Factorization of 12308

Now multiplying the highest exponent prime factors to calculate the LCM of 12304 and 12308.

LCM(12304,12308) = 2⁴ × 769¹ × 17¹ × 181¹
LCM(12304,12308) = 37859408