What is the Least Common Multiple of 28024 and 28036?

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 28024 and 28036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28024 and 28036, than apply into the LCM equation.

GCF(28024,28036) = 4
LCM(28024,28036) = ( 28024 × 28036) / 4
LCM(28024,28036) = 785680864 / 4
LCM(28024,28036) = 196420216

Least Common Multiple (LCM) of 28024 and 28036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28024 and 28036. First we will calculate the prime factors of 28024 and 28036.

Prime Factorization of 28024

Prime Factorization of 28036

Now multiplying the highest exponent prime factors to calculate the LCM of 28024 and 28036.

LCM(28024,28036) = 2³ × 31¹ × 113¹ × 43¹ × 163¹
LCM(28024,28036) = 196420216