What is the Least Common Multiple of 12294 and 12304?

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 12294 and 12304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12294 and 12304, than apply into the LCM equation.

GCF(12294,12304) = 2
LCM(12294,12304) = ( 12294 × 12304) / 2
LCM(12294,12304) = 151265376 / 2
LCM(12294,12304) = 75632688

Least Common Multiple (LCM) of 12294 and 12304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12294 and 12304. First we will calculate the prime factors of 12294 and 12304.

Prime Factorization of 12294

Prime Factorization of 12304

Now multiplying the highest exponent prime factors to calculate the LCM of 12294 and 12304.

LCM(12294,12304) = 2⁴ × 3² × 683¹ × 769¹
LCM(12294,12304) = 75632688