GCF and LCM Calculator Logo

What is the Least Common Multiple of 18312 and 18322?

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 18312 and 18322 is 167756232.

LCM(18312,18322) = 167756232

LCM Calculator and
and

Least Common Multiple of 18312 and 18322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18312 and 18322, than apply into the LCM equation.

GCF(18312,18322) = 2
LCM(18312,18322) = ( 18312 × 18322) / 2
LCM(18312,18322) = 335512464 / 2
LCM(18312,18322) = 167756232

Least Common Multiple (LCM) of 18312 and 18322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18312 and 18322. First we will calculate the prime factors of 18312 and 18322.

Prime Factorization of 18312

Prime factors of 18312 are 2, 3, 7, 109. Prime factorization of 18312 in exponential form is:

18312 = 23 × 31 × 71 × 1091

Prime Factorization of 18322

Prime factors of 18322 are 2, 9161. Prime factorization of 18322 in exponential form is:

18322 = 21 × 91611

Now multiplying the highest exponent prime factors to calculate the LCM of 18312 and 18322.

LCM(18312,18322) = 23 × 31 × 71 × 1091 × 91611
LCM(18312,18322) = 167756232