What is the Least Common Multiple of 28089 and 28101?

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 28089 and 28101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28089 and 28101, than apply into the LCM equation.

GCF(28089,28101) = 3
LCM(28089,28101) = ( 28089 × 28101) / 3
LCM(28089,28101) = 789328989 / 3
LCM(28089,28101) = 263109663

Least Common Multiple (LCM) of 28089 and 28101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28089 and 28101. First we will calculate the prime factors of 28089 and 28101.

Prime Factorization of 28089

Prime Factorization of 28101

Now multiplying the highest exponent prime factors to calculate the LCM of 28089 and 28101.

LCM(28089,28101) = 3² × 3121¹ × 17¹ × 19¹ × 29¹
LCM(28089,28101) = 263109663