What is the Least Common Multiple of 2498 and 2503?

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 2498 and 2503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2498 and 2503, than apply into the LCM equation.

GCF(2498,2503) = 1
LCM(2498,2503) = ( 2498 × 2503) / 1
LCM(2498,2503) = 6252494 / 1
LCM(2498,2503) = 6252494

Least Common Multiple (LCM) of 2498 and 2503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2498 and 2503. First we will calculate the prime factors of 2498 and 2503.

Prime Factorization of 2498

Prime Factorization of 2503

Now multiplying the highest exponent prime factors to calculate the LCM of 2498 and 2503.

LCM(2498,2503) = 2¹ × 1249¹ × 2503¹
LCM(2498,2503) = 6252494