What is the Least Common Multiple of 28424 and 28438?

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 28424 and 28438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28424 and 28438, than apply into the LCM equation.

GCF(28424,28438) = 2
LCM(28424,28438) = ( 28424 × 28438) / 2
LCM(28424,28438) = 808321712 / 2
LCM(28424,28438) = 404160856

Least Common Multiple (LCM) of 28424 and 28438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28424 and 28438. First we will calculate the prime factors of 28424 and 28438.

Prime Factorization of 28424

Prime Factorization of 28438

Now multiplying the highest exponent prime factors to calculate the LCM of 28424 and 28438.

LCM(28424,28438) = 2³ × 11¹ × 17¹ × 19¹ × 59¹ × 241¹
LCM(28424,28438) = 404160856