What is the Least Common Multiple of 28016 and 28031?

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 28016 and 28031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28016 and 28031, than apply into the LCM equation.

GCF(28016,28031) = 1
LCM(28016,28031) = ( 28016 × 28031) / 1
LCM(28016,28031) = 785316496 / 1
LCM(28016,28031) = 785316496

Least Common Multiple (LCM) of 28016 and 28031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28016 and 28031. First we will calculate the prime factors of 28016 and 28031.

Prime Factorization of 28016

Prime Factorization of 28031

Now multiplying the highest exponent prime factors to calculate the LCM of 28016 and 28031.

LCM(28016,28031) = 2⁴ × 17¹ × 103¹ × 28031¹
LCM(28016,28031) = 785316496