What is the Least Common Multiple of 2428 and 2438?

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 2438 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 2438, than apply into the LCM equation.

GCF(2428,2438) = 2
LCM(2428,2438) = ( 2428 × 2438) / 2
LCM(2428,2438) = 5919464 / 2
LCM(2428,2438) = 2959732

Least Common Multiple (LCM) of 2428 and 2438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2428 and 2438. First we will calculate the prime factors of 2428 and 2438.

Prime Factorization of 2428

Prime Factorization of 2438

Now multiplying the highest exponent prime factors to calculate the LCM of 2428 and 2438.

LCM(2428,2438) = 2² × 607¹ × 23¹ × 53¹
LCM(2428,2438) = 2959732