What is the Least Common Multiple of 19338 and 19354?

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 19338 and 19354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19338 and 19354, than apply into the LCM equation.

GCF(19338,19354) = 2
LCM(19338,19354) = ( 19338 × 19354) / 2
LCM(19338,19354) = 374267652 / 2
LCM(19338,19354) = 187133826

Least Common Multiple (LCM) of 19338 and 19354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19338 and 19354. First we will calculate the prime factors of 19338 and 19354.

Prime Factorization of 19338

Prime Factorization of 19354

Now multiplying the highest exponent prime factors to calculate the LCM of 19338 and 19354.

LCM(19338,19354) = 2¹ × 3¹ × 11¹ × 293¹ × 9677¹
LCM(19338,19354) = 187133826