What is the Least Common Multiple of 28424 and 28442?

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 28442 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 28442, than apply into the LCM equation.

GCF(28424,28442) = 2
LCM(28424,28442) = ( 28424 × 28442) / 2
LCM(28424,28442) = 808435408 / 2
LCM(28424,28442) = 404217704

Least Common Multiple (LCM) of 28424 and 28442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28424 and 28442. First we will calculate the prime factors of 28424 and 28442.

Prime Factorization of 28424

Prime Factorization of 28442

Now multiplying the highest exponent prime factors to calculate the LCM of 28424 and 28442.

LCM(28424,28442) = 2³ × 11¹ × 17¹ × 19¹ × 14221¹
LCM(28424,28442) = 404217704