What is the Least Common Multiple of 2493 and 2499?

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 2493 and 2499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2493 and 2499, than apply into the LCM equation.

GCF(2493,2499) = 3
LCM(2493,2499) = ( 2493 × 2499) / 3
LCM(2493,2499) = 6230007 / 3
LCM(2493,2499) = 2076669

Least Common Multiple (LCM) of 2493 and 2499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2493 and 2499. First we will calculate the prime factors of 2493 and 2499.

Prime Factorization of 2493

Prime Factorization of 2499

Now multiplying the highest exponent prime factors to calculate the LCM of 2493 and 2499.

LCM(2493,2499) = 3² × 277¹ × 7² × 17¹
LCM(2493,2499) = 2076669