What is the Least Common Multiple of 28072 and 28083?

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 28072 and 28083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28072 and 28083, than apply into the LCM equation.

GCF(28072,28083) = 11
LCM(28072,28083) = ( 28072 × 28083) / 11
LCM(28072,28083) = 788345976 / 11
LCM(28072,28083) = 71667816

Least Common Multiple (LCM) of 28072 and 28083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28072 and 28083. First we will calculate the prime factors of 28072 and 28083.

Prime Factorization of 28072

Prime Factorization of 28083

Now multiplying the highest exponent prime factors to calculate the LCM of 28072 and 28083.

LCM(28072,28083) = 2³ × 11² × 29¹ × 3¹ × 23¹ × 37¹
LCM(28072,28083) = 71667816