What is the Least Common Multiple of 24274 and 24289?

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 24274 and 24289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24274 and 24289, than apply into the LCM equation.

GCF(24274,24289) = 1
LCM(24274,24289) = ( 24274 × 24289) / 1
LCM(24274,24289) = 589591186 / 1
LCM(24274,24289) = 589591186

Least Common Multiple (LCM) of 24274 and 24289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24274 and 24289. First we will calculate the prime factors of 24274 and 24289.

Prime Factorization of 24274

Prime Factorization of 24289

Now multiplying the highest exponent prime factors to calculate the LCM of 24274 and 24289.

LCM(24274,24289) = 2¹ × 53¹ × 229¹ × 107¹ × 227¹
LCM(24274,24289) = 589591186