What is the Least Common Multiple of 28412 and 28418?

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 28412 and 28418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28412 and 28418, than apply into the LCM equation.

GCF(28412,28418) = 2
LCM(28412,28418) = ( 28412 × 28418) / 2
LCM(28412,28418) = 807412216 / 2
LCM(28412,28418) = 403706108

Least Common Multiple (LCM) of 28412 and 28418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28412 and 28418. First we will calculate the prime factors of 28412 and 28418.

Prime Factorization of 28412

Prime Factorization of 28418

Now multiplying the highest exponent prime factors to calculate the LCM of 28412 and 28418.

LCM(28412,28418) = 2² × 7103¹ × 13¹ × 1093¹
LCM(28412,28418) = 403706108