GCF and LCM Calculator Logo

What is the Least Common Multiple of 16166 and 16180?

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 16166 and 16180 is 130782940.

LCM(16166,16180) = 130782940

LCM Calculator and
and

Least Common Multiple of 16166 and 16180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16166 and 16180, than apply into the LCM equation.

GCF(16166,16180) = 2
LCM(16166,16180) = ( 16166 × 16180) / 2
LCM(16166,16180) = 261565880 / 2
LCM(16166,16180) = 130782940

Least Common Multiple (LCM) of 16166 and 16180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16166 and 16180. First we will calculate the prime factors of 16166 and 16180.

Prime Factorization of 16166

Prime factors of 16166 are 2, 59, 137. Prime factorization of 16166 in exponential form is:

16166 = 21 × 591 × 1371

Prime Factorization of 16180

Prime factors of 16180 are 2, 5, 809. Prime factorization of 16180 in exponential form is:

16180 = 22 × 51 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 16166 and 16180.

LCM(16166,16180) = 22 × 591 × 1371 × 51 × 8091
LCM(16166,16180) = 130782940