What is the Least Common Multiple of 18381 and 18398?

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 18381 and 18398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18381 and 18398, than apply into the LCM equation.

GCF(18381,18398) = 1
LCM(18381,18398) = ( 18381 × 18398) / 1
LCM(18381,18398) = 338173638 / 1
LCM(18381,18398) = 338173638

Least Common Multiple (LCM) of 18381 and 18398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18381 and 18398. First we will calculate the prime factors of 18381 and 18398.

Prime Factorization of 18381

Prime Factorization of 18398

Now multiplying the highest exponent prime factors to calculate the LCM of 18381 and 18398.

LCM(18381,18398) = 3¹ × 11¹ × 557¹ × 2¹ × 9199¹
LCM(18381,18398) = 338173638