What is the Least Common Multiple of 24498 and 24517?

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 24498 and 24517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24498 and 24517, than apply into the LCM equation.

GCF(24498,24517) = 1
LCM(24498,24517) = ( 24498 × 24517) / 1
LCM(24498,24517) = 600617466 / 1
LCM(24498,24517) = 600617466

Least Common Multiple (LCM) of 24498 and 24517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24498 and 24517. First we will calculate the prime factors of 24498 and 24517.

Prime Factorization of 24498

Prime Factorization of 24517

Now multiplying the highest exponent prime factors to calculate the LCM of 24498 and 24517.

LCM(24498,24517) = 2¹ × 3² × 1361¹ × 24517¹
LCM(24498,24517) = 600617466