What is the Least Common Multiple of 27999 and 28016?

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 27999 and 28016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27999 and 28016, than apply into the LCM equation.

GCF(27999,28016) = 17
LCM(27999,28016) = ( 27999 × 28016) / 17
LCM(27999,28016) = 784419984 / 17
LCM(27999,28016) = 46142352

Least Common Multiple (LCM) of 27999 and 28016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27999 and 28016. First we will calculate the prime factors of 27999 and 28016.

Prime Factorization of 27999

Prime Factorization of 28016

Now multiplying the highest exponent prime factors to calculate the LCM of 27999 and 28016.

LCM(27999,28016) = 3³ × 17¹ × 61¹ × 2⁴ × 103¹
LCM(27999,28016) = 46142352