What is the Least Common Multiple of 2484 and 2502?

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 2502 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 2502, than apply into the LCM equation.

GCF(2484,2502) = 18
LCM(2484,2502) = ( 2484 × 2502) / 18
LCM(2484,2502) = 6214968 / 18
LCM(2484,2502) = 345276

Least Common Multiple (LCM) of 2484 and 2502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2484 and 2502. First we will calculate the prime factors of 2484 and 2502.

Prime Factorization of 2484

Prime Factorization of 2502

Now multiplying the highest exponent prime factors to calculate the LCM of 2484 and 2502.

LCM(2484,2502) = 2² × 3³ × 23¹ × 139¹
LCM(2484,2502) = 345276