What is the Least Common Multiple of 24264 and 24274?

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 24264 and 24274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24264 and 24274, than apply into the LCM equation.

GCF(24264,24274) = 2
LCM(24264,24274) = ( 24264 × 24274) / 2
LCM(24264,24274) = 588984336 / 2
LCM(24264,24274) = 294492168

Least Common Multiple (LCM) of 24264 and 24274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24264 and 24274. First we will calculate the prime factors of 24264 and 24274.

Prime Factorization of 24264

Prime Factorization of 24274

Now multiplying the highest exponent prime factors to calculate the LCM of 24264 and 24274.

LCM(24264,24274) = 2³ × 3² × 337¹ × 53¹ × 229¹
LCM(24264,24274) = 294492168