What is the Least Common Multiple of 2449 and 2456?

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 2449 and 2456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2449 and 2456, than apply into the LCM equation.

GCF(2449,2456) = 1
LCM(2449,2456) = ( 2449 × 2456) / 1
LCM(2449,2456) = 6014744 / 1
LCM(2449,2456) = 6014744

Least Common Multiple (LCM) of 2449 and 2456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2449 and 2456. First we will calculate the prime factors of 2449 and 2456.

Prime Factorization of 2449

Prime Factorization of 2456

Now multiplying the highest exponent prime factors to calculate the LCM of 2449 and 2456.

LCM(2449,2456) = 31¹ × 79¹ × 2³ × 307¹
LCM(2449,2456) = 6014744