What is the Least Common Multiple of 18312 and 18317?

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 of 18312 and 18317 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 18317, than apply into the LCM equation.

GCF(18312,18317) = 1
LCM(18312,18317) = ( 18312 × 18317) / 1
LCM(18312,18317) = 335420904 / 1
LCM(18312,18317) = 335420904

Least Common Multiple (LCM) of 18312 and 18317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18312 and 18317. First we will calculate the prime factors of 18312 and 18317.

Prime Factorization of 18312

Prime Factorization of 18317

Now multiplying the highest exponent prime factors to calculate the LCM of 18312 and 18317.

LCM(18312,18317) = 2³ × 3¹ × 7¹ × 109¹ × 13¹ × 1409¹
LCM(18312,18317) = 335420904