GCF and LCM Calculator Logo

What is the Least Common Multiple of 18213 and 18231?

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 18213 and 18231 is 110680401.

LCM(18213,18231) = 110680401

LCM Calculator and
and

Least Common Multiple of 18213 and 18231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18213 and 18231, than apply into the LCM equation.

GCF(18213,18231) = 3
LCM(18213,18231) = ( 18213 × 18231) / 3
LCM(18213,18231) = 332041203 / 3
LCM(18213,18231) = 110680401

Least Common Multiple (LCM) of 18213 and 18231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18213 and 18231. First we will calculate the prime factors of 18213 and 18231.

Prime Factorization of 18213

Prime factors of 18213 are 3, 13, 467. Prime factorization of 18213 in exponential form is:

18213 = 31 × 131 × 4671

Prime Factorization of 18231

Prime factors of 18231 are 3, 59, 103. Prime factorization of 18231 in exponential form is:

18231 = 31 × 591 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 18213 and 18231.

LCM(18213,18231) = 31 × 131 × 4671 × 591 × 1031
LCM(18213,18231) = 110680401