What is the Least Common Multiple of 2475 and 2491?

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 2491 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 2491, than apply into the LCM equation.

GCF(2475,2491) = 1
LCM(2475,2491) = ( 2475 × 2491) / 1
LCM(2475,2491) = 6165225 / 1
LCM(2475,2491) = 6165225

Least Common Multiple (LCM) of 2475 and 2491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2475 and 2491. First we will calculate the prime factors of 2475 and 2491.

Prime Factorization of 2475

Prime Factorization of 2491

Now multiplying the highest exponent prime factors to calculate the LCM of 2475 and 2491.

LCM(2475,2491) = 3² × 5² × 11¹ × 47¹ × 53¹
LCM(2475,2491) = 6165225