What is the Least Common Multiple of 18312 and 18321?

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 18321 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 18321, than apply into the LCM equation.

GCF(18312,18321) = 3
LCM(18312,18321) = ( 18312 × 18321) / 3
LCM(18312,18321) = 335494152 / 3
LCM(18312,18321) = 111831384

Least Common Multiple (LCM) of 18312 and 18321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18312 and 18321. First we will calculate the prime factors of 18312 and 18321.

Prime Factorization of 18312

Prime Factorization of 18321

Now multiplying the highest exponent prime factors to calculate the LCM of 18312 and 18321.

LCM(18312,18321) = 2³ × 3¹ × 7¹ × 109¹ × 31¹ × 197¹
LCM(18312,18321) = 111831384