What is the Least Common Multiple of 2484 and 2498?

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 2484 and 2498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2484 and 2498, than apply into the LCM equation.

GCF(2484,2498) = 2
LCM(2484,2498) = ( 2484 × 2498) / 2
LCM(2484,2498) = 6205032 / 2
LCM(2484,2498) = 3102516

Least Common Multiple (LCM) of 2484 and 2498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2484 and 2498. First we will calculate the prime factors of 2484 and 2498.

Prime Factorization of 2484

Prime Factorization of 2498

Now multiplying the highest exponent prime factors to calculate the LCM of 2484 and 2498.

LCM(2484,2498) = 2² × 3³ × 23¹ × 1249¹
LCM(2484,2498) = 3102516