What is the Least Common Multiple of 18390 and 18394?

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 18390 and 18394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18390 and 18394, than apply into the LCM equation.

GCF(18390,18394) = 2
LCM(18390,18394) = ( 18390 × 18394) / 2
LCM(18390,18394) = 338265660 / 2
LCM(18390,18394) = 169132830

Least Common Multiple (LCM) of 18390 and 18394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18390 and 18394. First we will calculate the prime factors of 18390 and 18394.

Prime Factorization of 18390

Prime Factorization of 18394

Now multiplying the highest exponent prime factors to calculate the LCM of 18390 and 18394.

LCM(18390,18394) = 2¹ × 3¹ × 5¹ × 613¹ × 17¹ × 541¹
LCM(18390,18394) = 169132830