GCF and LCM Calculator Logo

What is the Least Common Multiple of 28089 and 28099?

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 (LCM) of 28089 and 28099 is 789272811.

LCM(28089,28099) = 789272811

LCM Calculator and
and

Least Common Multiple of 28089 and 28099 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 28099, than apply into the LCM equation.

GCF(28089,28099) = 1
LCM(28089,28099) = ( 28089 × 28099) / 1
LCM(28089,28099) = 789272811 / 1
LCM(28089,28099) = 789272811

Least Common Multiple (LCM) of 28089 and 28099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28089 and 28099. First we will calculate the prime factors of 28089 and 28099.

Prime Factorization of 28089

Prime factors of 28089 are 3, 3121. Prime factorization of 28089 in exponential form is:

28089 = 32 × 31211

Prime Factorization of 28099

Prime factors of 28099 are 28099. Prime factorization of 28099 in exponential form is:

28099 = 280991

Now multiplying the highest exponent prime factors to calculate the LCM of 28089 and 28099.

LCM(28089,28099) = 32 × 31211 × 280991
LCM(28089,28099) = 789272811