What is the Least Common Multiple of 24294 and 24312?

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 24294 and 24312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24294 and 24312, than apply into the LCM equation.

GCF(24294,24312) = 6
LCM(24294,24312) = ( 24294 × 24312) / 6
LCM(24294,24312) = 590635728 / 6
LCM(24294,24312) = 98439288

Least Common Multiple (LCM) of 24294 and 24312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24294 and 24312. First we will calculate the prime factors of 24294 and 24312.

Prime Factorization of 24294

Prime Factorization of 24312

Now multiplying the highest exponent prime factors to calculate the LCM of 24294 and 24312.

LCM(24294,24312) = 2³ × 3¹ × 4049¹ × 1013¹
LCM(24294,24312) = 98439288