GCF and LCM Calculator Logo

What is the Least Common Multiple of 16089 and 16097?

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 16089 and 16097 is 258984633.

LCM(16089,16097) = 258984633

LCM Calculator and
and

Least Common Multiple of 16089 and 16097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16089 and 16097, than apply into the LCM equation.

GCF(16089,16097) = 1
LCM(16089,16097) = ( 16089 × 16097) / 1
LCM(16089,16097) = 258984633 / 1
LCM(16089,16097) = 258984633

Least Common Multiple (LCM) of 16089 and 16097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16089 and 16097. First we will calculate the prime factors of 16089 and 16097.

Prime Factorization of 16089

Prime factors of 16089 are 3, 31, 173. Prime factorization of 16089 in exponential form is:

16089 = 31 × 311 × 1731

Prime Factorization of 16097

Prime factors of 16097 are 16097. Prime factorization of 16097 in exponential form is:

16097 = 160971

Now multiplying the highest exponent prime factors to calculate the LCM of 16089 and 16097.

LCM(16089,16097) = 31 × 311 × 1731 × 160971
LCM(16089,16097) = 258984633