GCF and LCM Calculator Logo

What is the Least Common Multiple of 18165 and 18175?

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 18175 is 66029775.

LCM(18165,18175) = 66029775

LCM Calculator and
and

Least Common Multiple of 18165 and 18175 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 18175, than apply into the LCM equation.

GCF(18165,18175) = 5
LCM(18165,18175) = ( 18165 × 18175) / 5
LCM(18165,18175) = 330148875 / 5
LCM(18165,18175) = 66029775

Least Common Multiple (LCM) of 18165 and 18175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18165 and 18175. First we will calculate the prime factors of 18165 and 18175.

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 18175

Prime factors of 18175 are 5, 727. Prime factorization of 18175 in exponential form is:

18175 = 52 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 18165 and 18175.

LCM(18165,18175) = 31 × 52 × 71 × 1731 × 7271
LCM(18165,18175) = 66029775