What is the Least Common Multiple of 24604 and 24621?

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 24604 and 24621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24604 and 24621, than apply into the LCM equation.

GCF(24604,24621) = 1
LCM(24604,24621) = ( 24604 × 24621) / 1
LCM(24604,24621) = 605775084 / 1
LCM(24604,24621) = 605775084

Least Common Multiple (LCM) of 24604 and 24621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24604 and 24621. First we will calculate the prime factors of 24604 and 24621.

Prime Factorization of 24604

Prime Factorization of 24621

Now multiplying the highest exponent prime factors to calculate the LCM of 24604 and 24621.

LCM(24604,24621) = 2² × 6151¹ × 3¹ × 29¹ × 283¹
LCM(24604,24621) = 605775084