What is the Least Common Multiple of 28016 and 28035?

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 28035 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 28035, than apply into the LCM equation.

GCF(28016,28035) = 1
LCM(28016,28035) = ( 28016 × 28035) / 1
LCM(28016,28035) = 785428560 / 1
LCM(28016,28035) = 785428560

Least Common Multiple (LCM) of 28016 and 28035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28016 and 28035. First we will calculate the prime factors of 28016 and 28035.

Prime Factorization of 28016

Prime Factorization of 28035

Now multiplying the highest exponent prime factors to calculate the LCM of 28016 and 28035.

LCM(28016,28035) = 2⁴ × 17¹ × 103¹ × 3² × 5¹ × 7¹ × 89¹
LCM(28016,28035) = 785428560