What is the Least Common Multiple of 28378 and 28396?

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 28378 and 28396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28378 and 28396, than apply into the LCM equation.

GCF(28378,28396) = 2
LCM(28378,28396) = ( 28378 × 28396) / 2
LCM(28378,28396) = 805821688 / 2
LCM(28378,28396) = 402910844

Least Common Multiple (LCM) of 28378 and 28396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28378 and 28396. First we will calculate the prime factors of 28378 and 28396.

Prime Factorization of 28378

Prime Factorization of 28396

Now multiplying the highest exponent prime factors to calculate the LCM of 28378 and 28396.

LCM(28378,28396) = 2² × 7¹ × 2027¹ × 31¹ × 229¹
LCM(28378,28396) = 402910844