GCF and LCM Calculator Logo

What is the Least Common Multiple of 18165 and 18171?

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 18165 and 18171 is 110025405.

LCM(18165,18171) = 110025405

LCM Calculator and
and

Least Common Multiple of 18165 and 18171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18165 and 18171, than apply into the LCM equation.

GCF(18165,18171) = 3
LCM(18165,18171) = ( 18165 × 18171) / 3
LCM(18165,18171) = 330076215 / 3
LCM(18165,18171) = 110025405

Least Common Multiple (LCM) of 18165 and 18171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18165 and 18171. First we will calculate the prime factors of 18165 and 18171.

Prime Factorization of 18165

Prime factors of 18165 are 3, 5, 7, 173. Prime factorization of 18165 in exponential form is:

18165 = 31 × 51 × 71 × 1731

Prime Factorization of 18171

Prime factors of 18171 are 3, 673. Prime factorization of 18171 in exponential form is:

18171 = 33 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 18165 and 18171.

LCM(18165,18171) = 33 × 51 × 71 × 1731 × 6731
LCM(18165,18171) = 110025405