What is the Least Common Multiple of 24174 and 24191?

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 24174 and 24191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24174 and 24191, than apply into the LCM equation.

GCF(24174,24191) = 17
LCM(24174,24191) = ( 24174 × 24191) / 17
LCM(24174,24191) = 584793234 / 17
LCM(24174,24191) = 34399602

Least Common Multiple (LCM) of 24174 and 24191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24174 and 24191. First we will calculate the prime factors of 24174 and 24191.

Prime Factorization of 24174

Prime Factorization of 24191

Now multiplying the highest exponent prime factors to calculate the LCM of 24174 and 24191.

LCM(24174,24191) = 2¹ × 3² × 17¹ × 79¹ × 1423¹
LCM(24174,24191) = 34399602