What is the Least Common Multiple of 24304 and 24316?

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 24304 and 24316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24304 and 24316, than apply into the LCM equation.

GCF(24304,24316) = 4
LCM(24304,24316) = ( 24304 × 24316) / 4
LCM(24304,24316) = 590976064 / 4
LCM(24304,24316) = 147744016

Least Common Multiple (LCM) of 24304 and 24316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24304 and 24316. First we will calculate the prime factors of 24304 and 24316.

Prime Factorization of 24304

Prime Factorization of 24316

Now multiplying the highest exponent prime factors to calculate the LCM of 24304 and 24316.

LCM(24304,24316) = 2⁴ × 7² × 31¹ × 6079¹
LCM(24304,24316) = 147744016