What is the Least Common Multiple of 2457 and 2461?

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 2457 and 2461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2457 and 2461, than apply into the LCM equation.

GCF(2457,2461) = 1
LCM(2457,2461) = ( 2457 × 2461) / 1
LCM(2457,2461) = 6046677 / 1
LCM(2457,2461) = 6046677

Least Common Multiple (LCM) of 2457 and 2461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2457 and 2461. First we will calculate the prime factors of 2457 and 2461.

Prime Factorization of 2457

Prime Factorization of 2461

Now multiplying the highest exponent prime factors to calculate the LCM of 2457 and 2461.

LCM(2457,2461) = 3³ × 7¹ × 13¹ × 23¹ × 107¹
LCM(2457,2461) = 6046677