What is the Least Common Multiple of 2428 and 2437?

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 2428 and 2437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2428 and 2437, than apply into the LCM equation.

GCF(2428,2437) = 1
LCM(2428,2437) = ( 2428 × 2437) / 1
LCM(2428,2437) = 5917036 / 1
LCM(2428,2437) = 5917036

Least Common Multiple (LCM) of 2428 and 2437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2428 and 2437. First we will calculate the prime factors of 2428 and 2437.

Prime Factorization of 2428

Prime Factorization of 2437

Now multiplying the highest exponent prime factors to calculate the LCM of 2428 and 2437.

LCM(2428,2437) = 2² × 607¹ × 2437¹
LCM(2428,2437) = 5917036