What is the Least Common Multiple of 28378 and 28384?

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 28384 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 28384, than apply into the LCM equation.

GCF(28378,28384) = 2
LCM(28378,28384) = ( 28378 × 28384) / 2
LCM(28378,28384) = 805481152 / 2
LCM(28378,28384) = 402740576

Least Common Multiple (LCM) of 28378 and 28384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28378 and 28384. First we will calculate the prime factors of 28378 and 28384.

Prime Factorization of 28378

Prime Factorization of 28384

Now multiplying the highest exponent prime factors to calculate the LCM of 28378 and 28384.

LCM(28378,28384) = 2⁵ × 7¹ × 2027¹ × 887¹
LCM(28378,28384) = 402740576