What is the Least Common Multiple of 28059 and 28071?

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 28059 and 28071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28059 and 28071, than apply into the LCM equation.

GCF(28059,28071) = 3
LCM(28059,28071) = ( 28059 × 28071) / 3
LCM(28059,28071) = 787644189 / 3
LCM(28059,28071) = 262548063

Least Common Multiple (LCM) of 28059 and 28071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28059 and 28071. First we will calculate the prime factors of 28059 and 28071.

Prime Factorization of 28059

Prime Factorization of 28071

Now multiplying the highest exponent prime factors to calculate the LCM of 28059 and 28071.

LCM(28059,28071) = 3² × 47¹ × 199¹ × 3119¹
LCM(28059,28071) = 262548063