What is the Least Common Multiple of 2475 and 2493?

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 2475 and 2493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2475 and 2493, than apply into the LCM equation.

GCF(2475,2493) = 9
LCM(2475,2493) = ( 2475 × 2493) / 9
LCM(2475,2493) = 6170175 / 9
LCM(2475,2493) = 685575

Least Common Multiple (LCM) of 2475 and 2493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2475 and 2493. First we will calculate the prime factors of 2475 and 2493.

Prime Factorization of 2475

Prime Factorization of 2493

Now multiplying the highest exponent prime factors to calculate the LCM of 2475 and 2493.

LCM(2475,2493) = 3² × 5² × 11¹ × 277¹
LCM(2475,2493) = 685575