What is the Least Common Multiple of 28016 and 28033?

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 28033 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 28033, than apply into the LCM equation.

GCF(28016,28033) = 17
LCM(28016,28033) = ( 28016 × 28033) / 17
LCM(28016,28033) = 785372528 / 17
LCM(28016,28033) = 46198384

Least Common Multiple (LCM) of 28016 and 28033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28016 and 28033. First we will calculate the prime factors of 28016 and 28033.

Prime Factorization of 28016

Prime Factorization of 28033

Now multiplying the highest exponent prime factors to calculate the LCM of 28016 and 28033.

LCM(28016,28033) = 2⁴ × 17² × 103¹ × 97¹
LCM(28016,28033) = 46198384