GCF and LCM Calculator Logo

What is the Least Common Multiple of 18183 and 18195?

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 18183 and 18195 is 110279895.

LCM(18183,18195) = 110279895

LCM Calculator and
and

Least Common Multiple of 18183 and 18195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18183 and 18195, than apply into the LCM equation.

GCF(18183,18195) = 3
LCM(18183,18195) = ( 18183 × 18195) / 3
LCM(18183,18195) = 330839685 / 3
LCM(18183,18195) = 110279895

Least Common Multiple (LCM) of 18183 and 18195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18183 and 18195. First we will calculate the prime factors of 18183 and 18195.

Prime Factorization of 18183

Prime factors of 18183 are 3, 11, 19, 29. Prime factorization of 18183 in exponential form is:

18183 = 31 × 111 × 191 × 291

Prime Factorization of 18195

Prime factors of 18195 are 3, 5, 1213. Prime factorization of 18195 in exponential form is:

18195 = 31 × 51 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 18183 and 18195.

LCM(18183,18195) = 31 × 111 × 191 × 291 × 51 × 12131
LCM(18183,18195) = 110279895